... is there anything else that you would need to think of when it comes to the other stuff like henries and such if ordering one?
Surely the inductance affects the OT sound. That's probably part of why this OT sounds different from that OT. But to be honest, I've never been concerned with inductance. I just look at impedance ratio and power ratings.
To Sluckey's point, the Transformer Maker knows the prices & parts & specs their product needs to have. So for output transformers, we normally look just at Rated Power, Primary Impedance and Secondary Impedance.
The primary inductance of the transformer has less to do with "sound" than making sure the transformer actually behaves like a transformer in the desired frequency range. Mainly, if a transformer only needs to "behave like a transformer" down to 1kHz, that's easier and takes less primary inductance than if it needs to "behave like a transformer" down to 35Hz. That latter is a much bigger part, with much higher primary inductance.
There are other transformer characteristics, and some will directly impact the sound. But almost no one publishes all their specs (Hammond is one of the few who do). Therefore, no sense worrying about those other specs, since they're almost never available.
... I have a question about OT primary if you add power tubes to a design that is already out there, since the primarys ohm helps to set the sound of a amp, even if it would work within margins.
... the Ampeg V4 that runs x4 7027 tubes into a 120W OT transformer with a primary of 2.9K, while their 60w version has a primary of 5.9K.
If i would like to build a Ampeg with x6 7027 tubes i would need a 180-200w OT - but how do i figure out the primary ...
Designers start with "make it work."
A tube is just a "voltage-controlled resistor": we manipulate the voltage on the control-grid, and the tube respond by acting like more/less resistance. Along the way, the tube will pass less/more current if the rest of the circuit will allow.
The OT primary impedance is between the tube & power supply: there will be a voltage-drop across the primary impedance, and that Voltage = Plate Current x Primary Impedance.
If the supply voltage stays unchanged and we want to Double Power, then we need to Double Current. The same voltage is available to drop, so Same Volts / Double Current = Half Impedance. And tubes pull but so much current per-tube, so we double-up on tubes.
If the supply voltage stays unchanged and we want to Triple Power, then we need to Triple Current. The same voltage is available to drop, so Same Volts / Triple Current = Third Impedance. And we triple-up on tubes.