Did you measure the Integra to ensure it was not clipping? And look for oscillations or other signs of instability? That sounds like a power limitation, not a stability issue. "Lacking in current" is a power limitation, not a stability issue. I do not know where you get your power numbers, but bass takes much more power than midrange, is very dependent upon the source material, and peaks can easily be 50 to 100 times higher in power than the average level. Clipping on peaks will make he sound harsh and so forth.
Without measurements, it's only your opinion against mine, so you do you. The good news is you were able to fix it by using an amplifier with higher power capability.
Clipping is a very obvious and distinctive (horrible!!!) sound signature - this sounded OK... average person would probably say the setup sounded fine - but having run the setup with other amps/AVR's I recognised it could sound better - and could identify aspects that were less than ideal.
No I do not have the tools with which to determine whether it was clipping (other than by ear).
In terms of power limitations, my Crown amp has signal level LED's at the 4W, and 16W levels - when running music at my normal listening level (circa 72dbA at MLP) - the 4W LED occasionally lights up/flickers, the 16W LED NEVER lights up (never even flickers).
So I know how much power is required to drive my speakers.... and it is extremely unlikely that a 100W AVR is going to clip at my personal reference level (72db)
The other thing to consider, is that the flaws I identified and remedied were all relating to the midrange, vocal/dialogue frequencies.
Bass was not obviously deficient.
My speakers are Gallo Nucleus Reference 3.2's - Nominally 4 ohm, with a dip to 3 ohm at the woofer crossover, and a serious dip to 1.63 ohm on the tweeter (which is also capacitive, to further cause potential difficulties with amps)
Midrange is provided by 2 "quackers" (love that term, sad that it dropped out of usage!) - running parallel, and mechanically crossed over to the CDT tweeter.
Review of these speakers from years back, often tout how good they sound with puny valve amps... but the speakers original designer, used to demo them with 500W powerhouse amps (500W @ 8ohm doubling down into 4ohm and again into 2 ohm )
The common thread in amps that do well with these speakers, seems to be stability into low impedances, and high current... high power appears to be an irrelevancy (although high power amps, often have ample current too...)
Note: there was
no harshness to the sound - that would indicate clipping I agree!
The degradation was (I'm repeating myself...but!) - a sort of congestion in the midrange, a lack of clarity... for those inclined to those terms, a "veiling" of the sound - it made vocals / dialogue more difficult to understand, and also impacted on soundstage and imaging....
Alternate amps, "lifted the veil", improving vocals/dialogue, soundstaging and imaging, while keeping bass and highs the same.
This is old fashioned diagnosis without sophisticated measurement tools!