The answer depends on you definition of subsidies, the energy market and country. As you second link is about Germany my answer will be also about Germany.
If we use a very broad definition of subsidies:
...in addition to direct state aid
and tax benefits, other forms of subsidies that are not a part of state budgets are
included here, such as the value of allowances from emissions trading, provisions
set aside for nuclear power, and feed-in tariffs for renewables.
Then this study from 2012 suggest that all main forms of energy production (except natural gas) are subsidised (see figure 4). Moreover, if you take the external costs which are not fully internalized in account (i.e. health costs due to air pollution, global heating etc.) then wind energy was among the cheapest form of electrical energy production methods in 2012 (see figure 5). As the prices for wind-turbines have fallen this only got better. But, if wind power becomes a major source in our wind energy market you have to take into account that there are cost in regulating this unsteady supply of electrical energy (with for example power-to-gas) and you have to add this to your production price.
If you want to have an answer to the question
Can a company construct and run a wind farm and sell its energy at the Strombörse (the "stock market" for electricity) in Germany now and make a profit without any (very) direct subsidies (i.e. getting extra money for every kilowatthour sold)?* then an answer could be:
At least the company ENBW (one of the mayor German electrical energy companies) believes this is possible:
* (I do not consider this a very meaningful question, except you want to run a wind farm yourself).