Does a Regenerated Commander Lose Beserk?

[Immaculate]

If you have a 'berserker' unit (one that will go berserk if wounded) get hit with something, take a few hit points damage and go berserk, will it lose the berserking if it heals up its hit points?

I read somewhere that yes that happens but for commanders only (to make the nature bless not suck completely) but never seen it happen myself.

I.