PS3 drives will be fine with RW media.
The reason most PS1s have issues with CD-RW is when the PS1 came out, CD-RW media wasn't available until 1997, the PS1 came out in 1995 and the design wouldn't have accounted for it. CD-RW is by nature less reflective (but actually stable enough to last decades). The laser servo was also analogue on many early 100x PS1s so it was quite crude how the laser would stay on the spiral data track.
The PS2 it varies by model and laser condition the one I have here can read RWs (but the mechacon bug is a good reason not to, as less reflective can mean a higher chance of a read error), but the PS3 generally had a good modern laser and servo and I don't think would have an issue with decent RW media that has been correctly burned.
As someone who has burned thousands of discs in my lifetime both personally and professionally, who knows how these devices work and has followed people very learned in these medias as well as anecdotal (even had the privilege of talking to someone who worked at such a factory) the quality RW discs can have a longer data retention than poor quality dye based discs and I have seen beat up ones read fine years on. And definitely a longer retention than TLC or QLC flash memory unless stored in very poor conditions. RW discs use a phase change metal alloy, and short of temperature issues, that won't change phase unless exposed to heat.
The main issues are a bad burn or poor media to begin with (or in the case of PS1s, the drive not really being designed for such media, I see some early laptops with cd drives have the same issues).
Feel free to use such discs, it won't kill your machine. Only in a PS2 affected by the mechacon bug (5000x to 7000x) would I use Grade A medical grade Azo discs with burn verified and nothing else unless a pic fix was installed. There is a quirk in the mechacon that bad ecc data in a sector causes the mechacon to lock up. This can happen while the laser coil is energized at a 50/50 shot (it's pulsed) If it does, the coils burn up, damaging the laser and sometimes taking out another IC with it. That can even happen with originals, very rarely unless they are scratched in just the right way to do this.
But as RWs are less reflective, a marginal laser may be more likely to throw a read error on these or poor quality media. Read errors alone won't do this, but an invalid ECC data area on read, so specific.
Other than that on PS3s or PS2s with a pic fix or unaffected model, use RW discs until your heart's content, saves you wasting other discs also if you don't want to revisit a game again.
