That's not a good idea. Whilst all recycling does get sorted to a certain extent, if a recycling bin is too contaminated with unrecyclables, the whole lot just goes to landfill or gets burnt, so everyone else's recycling efforts goes to waste (pardon the pun).
https://www.bbc.co.uk/news/uk-scotland-48185036
This explains why I see so many recycling bins go in to the main waste truck, I've always wondered about that. Doesn't help that everyone in out block just opens the closest bin and flings all their crap in it