I can taste the plastic of my water bottles even after many years of use. So, obviously some chemicals are continuing to come off of them. How bad this is. I have no idea. But I have no practical alternative when riding.
While I think it is important to try to minimize exposure to plastics, minimizing is the point. It's simply not practical to completely avoid them. But it's relatively easy to avoid using plastics in the microwave, or not store food in plastic containers in the fridge. But to a very large degree, most foods come in some sort of plastic container. Most commonly some sort of plastic bag.
I'm 64 so likely most of the damage is already done. But younger people have had this relatively high exposure their whole lives and it seems a historically high number of young people are developing illnesses that were relatively uncommon in young people a generation or more ago. Plastics may be part of that.
It's important to note that many studies showing problems have stats like, XYZ increases your chance of ABC cancer by 20%. But that is likely 20% of a really small number. So, my chance of something bad went from 0.001% to 0.0012%, I think I can still sleep at night. I think many people see these type of stats and think it means if they eat this or that, they have a 20% chance of getting cancer ABC.
This is not to say it doesn't matter. All of these things can add up. It's just that it's easy to spook yourself. Choose your battles and live your life.