Yes, they are decreasing
Joe W's answer has misread its source. There has indeed been an increase in tree cover lost to forest fires, but the original claim was about wildfires. Not all wildfires occur in forests; many occur in grasslands.
When we look at all wildfires, we see that the claim of the original article was correct; the annual global area burned by wildfires has indeed been trending downwards. Researchers attribute this to changes in human agricultural practices.
DISCLAIMER (and I really shouldn't have to add this at all): This is not intended as an argument about how severe or mild the impacts of climate change are or will be. OP has asked a narrow, yes-or-no question, and I am answering that specific question.
The research
I was not able to find a dataset that went all the way up to 2022. However, there was a paper in Science in 2017 that looked at the timespan from 1998 to 2015:
Fire is an essential Earth system process that alters ecosystem and atmospheric composition. Here we assessed long-term fire trends using multiple satellite data sets. We found that global burned area declined by 24.3 ± 8.8% over the past 18 years. The estimated decrease in burned area remained robust after adjusting for precipitation variability and was largest in savannas. Agricultural expansion and intensification were primary drivers of declining fire activity. Fewer and smaller fires reduced aerosol concentrations, modified vegetation structure, and increased the magnitude of the terrestrial carbon sink. Fire models were unable to reproduce the pattern and magnitude of observed declines, suggesting that they may overestimate fire emissions in future projections. Using economic and demographic variables, we developed a conceptual model for predicting fire in human-dominated landscapes.
...
... Our analysis showed that the evolution of human-dominated fire regimes follows predictable patterns, with the transition from natural to managed landscapes in forest and savanna regions generating markedly different burned area trajectories (28) (figs. S12 and S13). For humid tropical forests, frequent fires for deforestation and agricultural management yielded a sharp rise in fire activity with the expansion of settled land uses, providing quantitative evidence for rapid ecosystem transformation during early land-use transitions described in previous work (31, 32). However, in semi-arid savannas and grasslands, the transition from natural landscapes with common land ownership to agriculture on private lands generated a nonlinear decrease in fire activity, even in areas without large-scale land cover conversion. The reorganization of land cover and fire use on the landscape also altered the contributions from different fire types to total burned area (Fig. 5). For both forested and savanna regions, the most rapid changes in both land cover and total burned area occurred for transitions at very low levels of per capita GDP (<$5000 km−2 year−1, figs. S12 and S13).
With an expanding human presence on the landscape, increasing investment in agricultural areas reduced fire activity in both savannas and forests (Fig. 5). In highly capitalized regions, burned area was considerably lower, likely as a consequence of both mechanized (fire-free) management and fire suppression to protect high-value crops, livestock, homes, infrastructure, and air quality (13) (Figs. 4 and 5 and fig. S11). Livelihoods change drastically along this trajectory of fire use, as does the perception of fire and smoke (23). Regulation to improve air quality has significantly reduced cropland burning in the western United States (33). By contrast, fire activity increased in some densely populated agricultural regions of India and China (Figs. 1 and 4), suggesting that without investments in air quality management, agricultural intensification may increase fire activity in regions where crop residue burning is the dominant fire type. Agricultural expansion and intensification are likely to continue in coming decades (21), with the largest changes expected in the tropics, as development shifts vast areas of common land or extensive land uses toward more capital-intensive agricultural production for regional or global markets (21, 32). These changes in land use suggest that observed declines in burned area may continue or even accelerate in coming decades.
N. Andela et al., A human-driven decline in global burned area. Science 356, 1356-1362 (2017). DOI: 10.1126/science.aal4108
The paper doesn't spend a lot of time talking about climate change. Where it does, it holds that climate change generally increases fire risks, though perhaps not in every region of the globe.
... Climate feedbacks on fire activity are complex and vary by biome and level of fire suppression (11). Given projected increases in fire risk from climate change (12), fire management will be increasingly important for maintaining ecosystem function, air quality, and other services that influence human well-being (13).
Climate is a dominant control on fire activity, regulating vegetation productivity and fuel moisture. ... Climate change may increase fire risk in many regions (12, 16), given projected warming and drying in forests and other biomes with sufficient fuel loads to support fire activity. Ultimately, the interactions among climate, vegetation, and ignition sources determine the spatial and temporal pattern of biomass burning (17).
Ibid.