Yo, I wrote a script about this very same thing. If this happens, the implications it could have would be similar to Japan. Men preferring the company of robots would lead to a huge reduction in birth rates and an ageing population.
Men would be spending all their weekends and time indoors with their sex robots. Women will be walking around with no men to pursue them since no man wants the hassle with human interaction.
Men fighting for their rights to marry their robots. Feminist starting to realise how their anti-man agenda has backfired. Women are now resorting to sperm donors more frequently.
It was a dystopian sci-fi movie. Maybe I should finish that script?