Well the spell rules say "disappears when it drops to 0 hit points or when the spell ends."
You know what? It turns out I somehow managed to not only misread the spells' descriptions, but to mix and match them in my head at the same time while looking at the pdf that described them. Go me.
Like Ath-kethin probably realized the mechanism for losing control is
completely separate from the concentration mechanic.
If you stop concentrating, you don't lose control over the demon - you lose the demon full stop!
Losing control is a "secret charisma check". Losing concentration is, well, the usual Con save.
They are not related and can happen completely independently.
So. Let's start over
Have anyone noticed how you would want to lose control as soon as possible, thus freeing you from having to concentrate on the summoning spell?
To me, this is hugely advantageous:
1) killing the demon can't be easily done by hurting the summoner
2) the summoner is free to cast a different concentration spell, such as a second identical summoning!
The disadvantage, having the demon be uncontrolled, is not too bad assuming it's one of the demons that simply attack the nearest foe.
(Vrocks not so much since the pesky heroes are probably richer than you, the evil cultist leader, are
)