This is exactly what I usually end up doing, remap buttons like dash to R1 or jump to L1.
With the back button attachment I thought for sure Sony was going to embrace the extra buttons with the new generation of consoles, but here we are. I've tried to learn claw but the DualSense just isn't as conducive to claw grip as the Xbox Series controllers are, but I'm 37 and don't want to fuck my fingers/hands up. Like yourself, I've always tried to play faster paced FPS games on my Series X with an Elite, and it's unfortunate I don't like playing them on the PS5.