Your question has been downvoted because it is inappropriate for this website and politically loaded. "Did Ambedkar say this?" is an appropriate question. "Was Ambedkar a hypocrite?" is inappropriate, because it's asking us to cast judgment on a historical figure. Furthermore these days there are plenty of Hindutva people making up the most ridiculous reasons to attack Ambedkar, so this is a very tiresome question to see posed in this loaded, subjective way.
I see that this entry is attributed to a speech Ambedkar gave on October 15, 1956 in Nagpur. I ran the text through Google Translate and, to be frank, it is totally ordinary. Nothing here calls for skepticism.
The context of this quotation is Ambedkar in retirement trying to relate to the needs of local government in Nagpur by talking about the complexities of representative democracy in general. He discusses many issues, like the need for representatives to operate on good faith and call out disinformation. The paragraph that you are quoting simply expresses his own perplexity at the question of a stay-at-home husband being asked to cook and raise children. He says "the world is upside-down these days" and is trying to solicit a laugh, which appears at the end of the paragraph. His point is that this sort of thing does happen in a democracy.
Ambedkar does not denounce the electoral system which allows men and women to vote for the representative of their choice, nor does he call for women to be banned from government. There is no policy proposal here. His point is only that representative democracy can confuse gender norms and that he is sympathetic to the plight of the house-husband. I am using Google Translate so I can't know if his remarks sound insensitive to a modern ear, but I think if he was denouncing female participation he would have taken on a much different tone.
