My old sig gen could well be out, the 34mH coil dips at 9kc, the 60mH coil could well be 4.5kc I didnt bother being that precise.
I approximated the current consumption from the input power on my power supply.
The yoke potting goop is semi transparent, I'm pretty sure theres no core, looks like the coils were wound on a former then caked in epoxy, obviously the two windings are different, hard to say if they are similar to the yoke you posted, the one I thinking of trying looks just like that one, when I used that kind on my last vector monitor I rewound the vertical to get it so's I could increase the frequency response.
Yes I'd need twice as much voltage to drive the 60mH, I did that much messing about I cant remember what I got measurements wise, it could be that the amp is clipping on the 60mH coil before its gets any higher than 3 - 4.5kc, or maybe its limited by slew rate or Bwp, certainly at 1ma it doesnt need to be a power amp, a Lf358 works Ok.
I allready put together a smps for the Crt, wished I hadnt now, might need another couple of rails for the deflection amp.