Random question before I account transfer re: my achieves

I have accountA and accountB. A has my main + all my alts, B has 1 alt. I sometimes double box. I realized rather than have 1-2 alts on B, I can just move my main over and then I’ll have all my alts to partner with. That said - if I move my main over to account B (all on same Bnet) - will the personal achievements (i.e., it says ‘Cailand has earned this achievement’ instead of ‘Your warband has earned this achievement’ and does NOT have the blue top) still be personal once I move my main to B?

EDIT: some context - it annoys me when I see an achievement earned that says Your warband has earned this, but then it says “Cailand can still earn this achievement”. Excessive, probably but I hate seeing that.