kinda feel like the guy above did not read through the thread.
the problem with taming is that the process constantly gets interrupted even if you do what you need to do (stay far away yet close enough, have no fires around, put in food etc.) because mobs will spawn inside and outside the taming pen.

3-4 hours to tame a lox is atrociously long, especially considering i did exactly what you suggested, which was to do some busywork while waiting for them to tame - in my case, seeding and harvesting flax and barley > producing flour and linen, and clearing the occasional goblin raid.
the problem is the fact that mobs spawn near (and inside) their pen, spooks them, and unless you clear the mobs out it ends up in a sort of stalemate between the aggro'd lox and the low tier mob trying to path through the wall to kill each other.

if there is a bloody stake wall (multi-layered) neither the lox or the mob outside the pen should be able to see/aggro each other. instead they both act like the wall is transparent.
nor should mobs even spawn inside the confines of said stake wall (and yes, i did have workbenches up surrounding the pen, unfortunately for me, the lox will simply break the workbench if i build it inside the pen).