XAUSA

My opinion

.22 Hornet - probably
.22 Savage HiPower - I would say too high pressure
.25-35 Winchester - I'll leave it to others to answer

These are great little guns to use.

IMHO, If the barrel has been sleeved (or Parkerised by Parker Hale), I would leave it in a .22 calibre of some sort. This may also prevent you from safely opening up the chamber.

Good luck.