More effecient speakers?

You probably spent a lot of time choosing those speakers. If you like them, why upset the apple cart and start all over again just in the name of efficiency? If you are worried that they need more power, consider getting a more powerful Hegel, or a different amp altogether.

The AZ Adagio’s have a fairly flat impedance curve. Meaning it’s relatively amp friendly already - especially with your SS Hegel. Take your entire system into account when ’upgrading’. Have you optimized your cabling and power delivery? For cabling, I highly recommend Snake River Audio - with both neutral and warm-leaning offerings. Greatly improved macro & micro detail retrieval.  Give Jonny a call for his recommendation as to where to start. I think he offers a trial period. My Adagio Jrs. really opened up with two of his cables.  Piano recordings now sound close to a real piano.

Are these the Floor standers or stand mounts?

I heard the FS driven by EAR 100wpc tube amp. Although I wasn’t thrilled entirely with that presentation, due to some other aspects of the system but not the power, amp driving them, it proved to me as was just said, you can get by with a fairly decent number of amps. Tube or SS.

True too, before I would throw the baby out with the bath water, I’d look into a different amp.

Possibly too, a different power cord for the INT could be just the ticket to increase refinement and extension, if this has not already been done. It will only be a greater benefit if indeed you choose to investigate adding another amp later.

I would however, keep the power level at 60wpc and above..

Given your input for listening preffs, adding a more powerful amp will or should yield more clarity into the presentation, ala your desire to gain that via higher Eff speakers.

Usually, more power will better control speakers. As such they should perform better providing less distortion. Am not familiar with your INT specs.

You do have options besides wholesale changes.

Luck…