I am wondering how much difference in loss there is between the two tuners if the mismatch is the same?
Here is one way to answer your question. You will need another receiver located from 1 wavelength to a few miles away. An ionospheric path such as the RBN or another station is not suitable to discern the (probably) small difference between antenna tuners.
Method 1Set up a RX (mobile, another ham's house, etc.) some distance away.
Tune tuner A at 100W and record the remote S-meter reading.
Tube tuner B at 100W and record the remote S-meter reading.
Repeat tuner A, B, A, B to account for short term measurement variations.
Method 2Set up a TX (mobile, another ham's house, etc.) some distance away. It can be a 1 mW.
Tune tuner A at 100W and record the S-meter reading of the remote TX.
Tube tuner B at 100W and record the S-meter reading of the remote TX.
Repeat tuner A, B, A, B to account for short term measurement variations.
Note that while an IARU S-unit is 6 dB, some Japanese S-meters are 3 dB/S-unit. The Elecraft K3 is 6 dB/S-unit. A QST review might show many dB/S-unit your remote receiver is. Or, use a 1 dB/step attenuator to determine it. If you have such an attenuator it can be used to adjust each tuner test for the same S-meter reading.
This method can discern a 2 dB difference and I would not be surprised if you find no discernable difference between tuner A and tuner B.