If an aarakocra created it, could it do tasks that an aarakocra servant could do? Something to think about.
I would tend to be more in favor of limiting it since it is just a 1st level spell. I would be ok with an improved version at 3rd level that could do several of the things mentioned in the thread. I could even see a summoned warrior that could attack, but that might be a 5th level spell.
A spiritual weapon is explicitly flying, though. It is floating and can move, which is...................flight. The unseen servant on the other hand has no ability to float and can only do things that normal human servants can, so no flight.
At least as a spellbook based spell, I'd tend to think it would depend more on the initial formulation of the spell rather than the ability of the spell caster. Regardless, an aarakocra, with a max move of 10, might be unable to fly.
Gnomes and others cast unseen servant with it's current description. I doubt that Aarakocras have a special exception.