I had an older TV at the time and only ever had a composite cable, but I saw how harsh S-Video could look with the Saturn for some games playing on a friend's TV.
I don't mean to dismiss the PSX's games or its capabilities, some games did look amazing at the time, it's just that I always knew what both had to offer. Or rather all three, Playstation, Saturn, N64, very different systems but the PSX is the least unique of the lot, technology wise PCs were the same thing but better already, just a lot more expensive.
If the Saturn wasn't the anachronistic monster that it is, Guardian Heroes and Radiant Silvergun* and Shining the Holy Ark* would not have been made - StHA would not have been seen as technically impressive but it is wonderful, unique, and a loving postscript to an era. Tomb Raider may not have 'happened', or AMOK either. And of course Panzer Dragoon, the Saturn channelled this living story through the void, there is no question of that for me. And so I got the most beautiful game I have ever played.*
There is a certain technical characteristic seen in all three games, it is minute and probably invisible to virtually everyone who has played them, but I think it has an ineffable consequence. The way the ground or surface bitmap is accurately mapped all the way into the horizon and with that gorgeous gradient, it's like an anchor of firmament, it proves the context of scale. Also the solid background image in general, compared to every PSX game with any kind of rotation or scaling that always looks flaky and shaky and flat.
*And sound, music, emotion. Three of the best chip tune soundtracks ever for me, including the peerless masterpiece of all soundtracks period. Azel is, well, just that and all that. I can only think of a few games since then that are in the same league for authentic chip works, but nothing from the Playstation either, so the Saturn represents the send off for an idiom there as well.
Ahh this is a dangerous topic for me, I could wax on for DAYS I'm sure. But it was never about thinking the Saturn was a better system than the Playstation, it was simply a clear and unambiguous personal choice if it came to it, Saturn had the goods I liked better.