While that would buff the ability, it feels extremely tacked on.
Imo, the infection mechanics should be changed so that damage occurs at the end of the opposing player's turn, similar to poison. This would shorten the delay in the impact of infection. Obviously all the infection cards will have to be looked at and possibly adjusted.
In case my wording is confusing, here's an example:
Now: infect opponent's creature with 1 HP, end turn. Opponent's turn: play his card, skills, etc., end turn. Infected creature attacks, then dies.
Change: infect creature with 1 HP, end turn. Infected creature dies.
Difference: the opponent can't activate the infected creature's ability, and the damage from the infected creature isn't done.
This is how poison currently works: you inflict poison, end turn, and the opponent takes damage.