Right, so I've had both on my setups and they're genuinely different beasts.
Rigid panels — proper efficient, they're the workhorse. Got 400W of Victron on my shepherd's hut and they're bulletproof. Better output in poor light conditions too. Downside is they're a pain to mount if you haven't got a solid roof space, and you're locked into one angle. Also heavier, which matters if you're bolting them to anything structural.
Flexible panels — these are the wild card. Stuck 100W of Renogy flexibles on my van conversion and they actually conform to the curved roof. Brilliant for that. They're lighter, which my van definitely appreciated. But here's the thing — they're nowhere near as efficient long-term. They degrade faster in heat, and the output drops noticeably compared to rigid equivalents in anything less than ideal sun.
The real consideration is your setup. If you've got roof real estate and it's structurally sound, rigids are the no-brainer — better bang for buck over time. Flexibles make sense if you're space-constrained or need that weight saving, but budget for replacement sooner.
My honest take: hybrid approach works best. Rigids for your main array, flexibles as supplementary if you're doing a mobile setup.
What's your situation? That'll probably determine which way you should lean. Are you looking at permanent installation or something that needs to move around?