Don't forget about primary inductance,
An 8 K primary could be 50, 100, 200 Henrys,depending on the turns and core.
So your inductive reactance would be
12,560 ohms, 26,120 ohms 50,240 ohms respectively.
And let's not forget that speakers are inductors and thus are non linear with respect to frequency. As is the output transformer.
Also, since inductance and impedance relate to the turns count in a quadratic fashion, the difference in primary turns between an 8 K transformer and say, a 6.7 K transformer will only he about 8 percent.
Here are a couple of conflicting viewpoints:
"I built a Trinity TC15 (very close to an AC15 - the power section is taken from a Matchless Lightning) and it has a Heybour OT with two taps and a switch on the back to choose between them. In theory one impedance gives you a "harder" tone/more "crunch" and the other a "softer" sort of tone. But in practice, the differences are really quite small. I've flipped that switch many times and scarcely been able to tell a difference (although some amp settings can make it stand out more than others).
Obviously this is a small sample size and is by no means determinative but it makes me doubt that it will make much of a difference. The way the transformer is made might matter a fair bit (I don't know enough on that account to even venture an opinion) but just the impedance doesn't seem to matter too much IME."
and
"I've built a few Tweed Harvards, all using the same Hammond 8k Tweed Deluxe OT except one that I used a 6.6k Deluxe Reverb OT. Very noticeably cleaner, punchier, higher headroom, and honestly more Blackface sounding with the only difference being the OT. I think it was actually louder because it didn't have the same saturation and compression at higher volumes. A Tele stayed clean up to 8 on the dial out of 12. It was a great clean amp. It didn't do as well with humbuckers. They seemed to go from clean to falling apart mess with a very fine line on the volume dial.
So, in my experience, if you want max cleans, go with the 6k. If you want more overdrive, go with 8k."