The best thing is just try! You can always reuse the RW, so you can't really lose.
My CD-player (a Sony discman) works fine with RW's, even though it's over 10 years old- older than the RW technology is.
I smile as I read this and think of all the poor guys with expensive automobile CD players that are picky with media and have poor performance. I have never had a built-in car CD player, but just used old
Discman-type portable players plugged in to audio inputs in the car unit, usually with rechargable batteries. They alway played anything I threw at them, even the lowest quality discs with bunches of C2 errors.
My last "car" player was an 8 year old inexpensive Panasonic portable, which has never failed me. I haven't tried it with CD-RW audio discs, yet, but I may after reading this.
Some time ago I bought a portable that plays MP3 files, as well as CD-RW discs. This is a quite handy and versatile combination.