False. Polyester fabric has been in widespread use since the 1920s and was first patented in Britain. Methinks you are using a rather “no true Scotsman” definition of plastic .
Polyester use took off in the 1950s and 1960s, but it declined into the 1970s and 1980s. It took off again in the late 1990s. As such, the intervening period that didn't see major use of it was within my lifetime.
No true Scotsman. You said “before plastic” not “during a lull” and in many case there weee many other plastics in widespread use throughout all those decades.