That should be fine. It’s hard to imagine the extra connection point and IC would penalize this enough to notice, unless psychological.
So you’re using 3 sets of ICs to ensure symmetry between the 2 paths. That’s perfectly fine, but if it were me I’d probably look for an adaptor to work more like a "loop out" from the 1st amp, so I only need that 2nd IC set to hit the 2nd amp (if positioned close enough). The loop-out is used quite commonly on electrostatic headpohone amps (Stax) - and here, I’ve not noticed a penalty from using the loop-out.
Of course you’ll find folks who are obsessed about the connector quality, and these can get quite expensive on the high end - I’ve been there in the past; now I don’t care so much.
When "stacking" cables in series, with different brands or makes (especially copper vs. silver), the sound tends to be "additive" in the traits of the 2 cables. Like tube rolling. Which again, is generally fine IMO. IC sonic differences are generally pretty subtle to me, with exceptions for very long runs or specific slots like phono that can be sensitive to capacitance.
Are you bi-amping?