A transformer is a lumped inductance.
So is a "choke".
The Iron and Copper don't actually give much of a damn about the distinction nor whether they have one winding or several.
Saturation is saturation at wotever it is for the construction, etc.
Rule of thumb, even though a KVA is LESS than one HP, erg-wise, is to use a transformer of twice the KVA as load HP.
That way, it does NOT significantly limit what the load can grab for peak power.
Anything much less? Expect some limiting. Mind.... dropping a 50 KVA transformer across the line has a "starting current" of its own!
Your 35 KVA should be just about right, though.
Among other things, your transformer IS your "soft start".
My one is 27 KVA, FWIW... But my largest "running" load is a tad under 10 HP, fully loaded.
OTOH, NONE of my machines have a mechanical clutch to de-couple the rest of their powertrain at start.
Keep in mind that the current-rating is the "sustained" figure. Heat-rise determined, mostly
Short-term peak is determined largely by saturation.
I think you are in good shape, so far. Conserve yer cash. Wait, try it, then see if you need more "stuff" or not.