Again, I haven't seen anyone from the right come out and say there's a big problem with women lying. Accusing a particular woman of lying is not the same as saying many, or too many of them are lying.Obviously, people who aren't brokebrained know it's not a real problem. However, a (hopefully) small but vocal part of the population, including the US President, seem to believe that it is. High-profile instances like these only serve to reinforce their belief that women lying is a common occurence. While it might not result in a different reaction towards a victim who comes forward, the regressive brokebrains banging on about all the women that lie to ruin men could very well strengthen their fear of being called a liar, thus making them more reluctant to come forward.
The number of both women (and men) who are coming forward with sexual assault allegations is much higher than ever. As a society we've made a lot progress in that regard. Both in better legally framing what sexual assault is and in very much encouraging people to come forward, as well in trying to protect them afterwards. Which has led to an eye-opener in terms of the real scope of the problem, because in the past it was flying a bit under the radar mainly due to it being under-reported by women for fear of repercussions.
I don't think a handful of false allegations change that trend in the slightest. I hate Trumps rhetoric on this and it is a regressive force of course, but I don't see anything that suggests he would act differently if it weren't for handful of liars. He would still be the same old twat.