Retail CD-R products were invented years after the PCE CDROM2 standard was finalized. Therefore your mileage will vary. I've owned several PCEs and Turbos (since they were still in production, many years) and never had an issue playing any CD-R I've burned. Some people try everything and still can't play burns. You'll just have to deal with it. Everything is performing to its spec, it's just that playing a yet-to-be-invented pirate copy of something was not a priority for NEC when they were manufacturing the first consumer CD-ROM of all time. Likewise it is not the responsibility of the CDR companies to support ancient gear that preexisted CDR.
As for killing gear, that's bullshit. Maybe if it's on it's last legs, but probably not even then. The only non-idiot here that pushed that theory was Tatsujin and since his personal collection of non-CDRs is worth tens of thousands of dollars I honestly think he just had an axe to grind with pirates or at least liked to pose a bit. I do the same thing when I say "Just buy legit copies, it's way easier." knowing that if every Turbo game isn't worth $100 yet they will be within the month so that isn't really practical.