alt Hacker NewsI believe the biggest reason to use glass is that it doesn't react with much stuff, but I've yet to see an explanation for why your idea wouldn't work. I imagine there could be problems with autoclaves (i.e. degradation of the polymer) and fear of chemical leaching.
Polymer coated glass is commonplace in chemistry labs for large containers of hazardous reagents held in storage. There's no chemical leaching concern because it's on the outside.
If anything, disposable plastic test tubes are the norm in microbiology labs at this point. No need to autoclave because they come sterile and you throw them away after a single use.
Plenty of plastic that's designed for it goes through the autoclave. For example micropipette tips. Nearly all of it is disposable single use so it only has to withstand a single cycle.