It seems reasonable to assume that the designer of the card hadn't planned for that or he'd probably have limited the wording better. It's weasel-y and annoying but legal.
I don't think it's reasonable to assume the designers only wanted the card to be used on opponents' units. The ability must be used in Phase 0, so it's not like you can recall a card to your hand to avoid being destroyed.
You could also pull back one of your units that had damage on it and recast fully healthy (by no means an efficient method of healing).