If you copy and paste one line from a thousand different GPL projects, is the resulting program GPL?

Let's be honest about what's happening here.

It could be. The amount of code you copy doesn't matter, just depends on context and if your work could now be considered derivative.

I said this else where, but I work with people who won't even look at GPL code because of the potential legal entanglements.

Yes let's. Corporations with billions of dollars behind them whole sale stole copy right work and licenced code to train models, and then turned around and sold the result with no attribution or monetary benefit given to the people they stole from. They knew what they were doing and relied on the legal system being slow enough that they could plant a flag in the market before legal challenges killed them.

It's an industry built on theft. By all rights they should have been sued/fined out of existence before it ever got this far. But if you have enough money you can make almost anything legal.