^ Yeah, but not even that as a rule really, the keyword in that post is definitely 'most'. (Many speaker amps are designed for focus on clarity too, it's actually the load that's relative here.)
Some speaker amps can have lower noise floor and can be more delicate and nuanced than some headphone amps.
GENERALLY though, it's a question of the right tool for the job, and in a lot of speaker amps you'll be able to hear the noise floor *easily* through say, the HD800s. I've also had the HD800s be deadly silent on certain speaker amps, even more so than certain headphone amps. So in sum, it depends.