If you can demonstrate significant bass response deviation at 86dBSPL/1m, into the same speakers, between two power amps both capable of delivering enough power at the relevant impedances, then that's a big deal.
One amp is 1200 watt the other 300,both capable.
The level is 82.5db for both,you can see it at the left down corner.
The sensitivity spec for my 10" inch woofers is 83-84db.That means that at 3m distance from the LP all they used was a few watts,at most.
Yet again...
And again,it's not the response that's changes that's nearly the same for both ,you get the same peaks and dips in the response chart.
That's the distortion chart,it means that you maybe listen to the same dips and peaks but the distortion down there is higher.
Probably the small one can't handle low's as well with the big one.There can be a lot of reasons for that.
If someone has an active system and two amps with the same gain but 1/4 difference of power can try it too.