I'm looking into upgrading the GPU of my 2019 rig (3700x) and I'm wondering how necessary it is to follow the manufacturer recommendations on PSU. Originally I decided not to upgrade the 8GB GTX 1080 because it simply sufficed my needs and bought a 650W PSU unit.

Fast forward to 2023 it is apparently difficult to pick a GPU which officially requires <= 650W. I'm looking for an acceptable price/performance/longevity combo and the only option right now appears to be the 4070 (not Ti). If PSU was not an issue I probably would have gone for 7900 XT instead, however paying extra 150 EUR for a new PSU on top of that is silly (let alone rewiring everything). PC Part Picker tells me I have some 70W to spare after installing a 340W Sapphire 7900 XT. I'm also limited by 330cm clearance but that's less of an issue.

Any thoughts? Thank you.