Would undervolting help with reducing the noise further with quiet bios? Looking to pick up quietest 4080 Super, and this one seems sensible from cost perspective.
it's likely the minimum non-stopped fan speed set in the BIOS, since the quiet BIOSes favour warmer temperatures before increasing fan speeds.
The real question is what is your noise floor at home? 29dBA for the Strix is very quiet. 31dBA for the Gigabyte GamingOC is also very quiet. Unless your room is sound-insulated from external noise and you use speakers for gaming at low volumes, you're unlikely to notice.
You could use a decibel meter on your phone to check your background noise, but many of those don't do dBA, only dB.
Going on the basics, the Asus fan spins slower, but looks to have fewer vanes that must be more aggressively angled. In my experience that means it will be a lower, louder hum than the gigabyte at the same fan speed, but the more aggressive vane angle allows Asus to run the fan slower, which should cancel out the increased loudness of more aggressive vane angles.
Everyone's hearing is different, dBA scales attempt to emulate the 'typical' hearing so in theory the Asus should be quieter, but we're talking relatively low RPMs for both models using 110mm fans. Ultimately, the objective dBA recording is lower for the ASUS, you need to work out whether you want to spend $200 more for that.