I think you're getting confused.

There are two kinds of mode +h, but they are easily distinguishable by mIRC.

The halfop +h is set on a channel as so:
:nick!user@host MODE #channel +h nick
The "is available for help" mode is set on a nickname:
:nick MODE nick :+h

Similarly on most networks there is a +o usermode and a +o channel mode. As a usermode it means IRCOp, and as a channel mode just a normal channel op.

The two kinds of modes are unrelated and exist entirely seperately from eachother.