I find it more likely that plastic is just a dope material for cheap, durable manufacturing, but I do appreciate having another conspiracy to put in my pocket.
There are definitely health risks. Look at all the bottles that have the "BPA-free" disclaimer on them.
The fact that they’re advertising to consumers that they’re BPA free is itself not enough to conclude that there is definite harm. It may just be that consumers prefer to buy BPA free versions, science be damned. My understanding is that vaccines often don’t contain thiomersal anymore because of unsubstantiated consumer fears, not any demonstrated health risk.