Good question. I have no personal experience there. And if both cabinets are nearly identical, except for impedance, it would be very difficult to tell the contributions of each cab to the overall sound.
I’ve read here on TB that going from one 8 ohm cab to two (identical) cabs is roughly +6 dB: a second identical radiator is twice the acoustic power, +3 dB; the amp puts out twice the wattage, another +3 dB.
Adding an identical 8 ohm to a 4 ohm does not add as much. The second radiator is only getting 1/2 the power, so it is not adding +3, but rather +1.5; the amps wattage jump would also add just 1.5. I think.
But OP noted the amp does not produce any additional wattage going from 4 ohms to 2.6 ohms. So you are actually going to run less power into the 4 ohm box when you add the 8 ohm one.
I think it would still get louder, but only a little bit. The same power through twice as many speakers should net +3 dB. The apparent volume could be helped a bit as you would have more speakers pointed at your head, closer to your head.
The three 8 ohm 210s seems like a better, more flexible solution. Ultimately not as loud as two 8 ohm 410s though unless you get some very efficient 210s. And these cabinets are not interchangeable. Some companies’ 210s are much better than others, same for 410 or any other alignment.
Two vertically stacked 210s is a real popular rig these days, helping ameliorate the beaming issue with the common square 410 cabinet and getting a speaker closer in line with your head, which really improves apparent volume, frequency response, and intelligibility.