Does the health increase bounses also buff the heroes and overlord ship?

The heroes ship max health is 75 wound.

The avatar start 1st.

4 hawkeye cannon firing far from the overlord ship rolling 2 black 2 silver and 1 gold die.

Can take down the hero ship in 3-4 turn.

The avatar still can spirit fog away to prevent the heroes to attack him on their turn. Unless they guard on their next turn.