Hi Will,
Got a feeling that the right hand transformer is the mains transformer, will check my V4 on monday, to confirm. Likely it will run warm , after some use, but if it gets really hot, it's pulling too much current. I'm not qualified to advise further, but if it were mine, I would pull the output tubes, and see if the tranny still gets too hot.
Hows the power on half power setting ?
BTW , setting the V4 bias is easy, but read the manual carefully.
Don't go poking around inside, t'aint safe !
Mike