6 ohm speakers with 4/8 ohm amplifier

Say your speakers are 6 ohms and your amp gives out 120wpc in 6 ohms.
So, if I am shopping for an amp for my 6 ohms speakers and care about the amp’s power rating, I should go by it is power rating at 6 ohms, correct?

I should also mention that I am just asking a technical question, not what I need/want as power or not.

Maybe I should ask differently.

If a speaker manufacturer has the following specs; do they mean the recommended power in 8 ohms or 6 ohms?

Specs:
Impedance: 6 ohms
Recommended power: Minimum 50wpc