Short answer, yes.
“And in the end meet the old course of death, women will all turn monsters”(III.vi.123)
In King Lear, Shakespeare illustrates the idea that women in power are crazy – they won’t be able to control their emotions when making important decisions. When Goneril and Regan obtain power from Lear, they’re actions are portrayed as monstrous and they’re characterized as, “Unnatural hags” (II.iv.319) who seek to destroy the kingdom. In Act 3, when Regan kills the First Servant, she’s called a “villain” and a “naughty lady”, to reinforce that women showing this kind of assertiveness is dangerous to the men in power.
The way Shakespeare portrayed women in King Lear was foreseeable to the future US political climate. Throughout the past 20 years, when women have stepped out of their “natural” roles, they’re depicted as dangerous, mad women. For example, Hillary Clinton was called ‘Crooked Hillary’ by Trump in hopes to portray her as a danger to society for her past. Similarly, AOC has been heavily criticized for her actions in the House of Representatives. People have called her “crazy” for doing the same things that a man in the House of Representatives would get applauded for.
Anita Hill was seen as a barrier to Justice Clarence Thomas’ trial to becoming approved by the Senate. People thought it was ploy to try to get Thomas rejected.
The political landscape of the US is very similar to the one in King Lear. When women reject the power structure put in place by society, they’re criticized. Also, one of the most important things in King Lear and to those in politics is power. When power is lost, chaos breaks loose in an attempt for someone else to regain it. If a women seeks this power, they are seen as a threat to a man’s power. Even during the 1600s, when King Lear was written, this was the societal norm, which is still very evident in US politics today.