My default stroke against dead balls looks like normal backspin loop. I never played inverted BH so I cannot tell the difference.

If you come from LP game then you should avoid pushing in favour of flicking/driving most balls near the table. Away from the table you should make normal chop. Transition between both worlds is difficult problem in hot situations for me.

I personally never had much problems against nospin balls with either Dornenglanz ox or KO Pro. I generally have troubles against heavy topspin or heavy underspin players. So I think nospin handling is not equipment but technique problem.