"tube wants some particular load."
I think a light bulb lite
you're right, it's the designer that wants a tube to operate at a given point (tubes happy place:) ...
... will the tube operate at the same place ... speaker or OT? ...
The Transformer doesn't factor into the operating point (meaning idle bias) nearly at all. The transformer determines where the tube goes, away from the idle point when signal is applied.
... my hangup is, using speaker load to get to 17k vs buying a transformer to get to 17k ...
I hear you; if one simply wants to see what happens in their amp with this-load or that-load, it's much easier to take a transformer you have on-hand and apply a different speaker-load to get there. If you already have the different speakers, then it's also cheaper than buying a transformer.
How many math equations could have the answer 4?
2+2
5-1
28-24
√16
256 ÷ 64
Why does any transformer-maker have more than 1 4kΩ-primary transformer? Why bother with "Vox style" and "Fender style" and "Marshall style" at all? Why is there more than 1 kind of Champ OT?
There are a lot of different routes we could use to get to the answer "4" (way more than I showed). There are also a lot of ways to wind a transformer to couple a 17kΩ primary to a 4Ω secondary.
- √(17kΩ/4Ω) = 65.19 : 1
- Could be 326-turns primary to 5-turns secondary
- Could be 1043-turns primary to 16-turns secondary
- Could be 15646-turns primary to 240-turns secondary
Each of the choices above will lead to differing amounts of primary inductance, leakage inductance, and interwinding capacitance. And these are the things that shape the transformer's treble & bass response. The transformer-maker might then choose among various schemes to sectionalize, layout & connect the windings to balance the tradeoffs.
There are as many design-tradeoffs in transformer design/manufacture as in the rest of a guitar amp. The choices made for how to get to "17kΩ:4Ω" alter the resulting sound & frequency limits of the transformer. There's a whole section of RDH4 (in the Library of Information) that gets into transformer considerations, design & construction that explains how complex it can be.