I'm probably beating a dead horse, but…
At a first glance, you may start to think about B/B just for Curse of Doom
dealing more damage, more healing from Siphon Life
etc. But indeed, H/H is better when you are focused on returning from the suspension, though Ghastly Kid
with her health focus and avoidance can fulfill that role aswell.
Note also that Curse of Doom is often paired with damage enhancing abilities from other pets that may be itself enough to kill the opponent (mostly Tanaan Terrors or Beasts of Fable).
I have a H/H myself and can't recall if I had any problem with her.