I have depotted a couple of things with a hot air gun, the compound turns to easily cut flexible rubber type stuff, allthough this might not work on all compounds.
The first one or 2 laminates get mangled pulling them off, and the trans will probably be ok without, to stop the bobbin from squishing just plane a piece of wood so that it fits inside tightly, you can also put a bolt through the centre of this to use as a drive on a drill.
I have scrapped some HID light fittings and kept the 400w ballast's, I just had a look at one, your right tcm the ballast looks as though the E's and the I's are all aligned like an mot, the mounting plate is crimped into place and holds everything together on this one.
Probably a good source of a quick tranny, and the cross sectional area on this one is hooge probably around 0.5m2.
Probably be good u p to 1 kc or so.