I've heard of too many cooks in the kitchen... but more planters in the garden should be good!
Besides, you are only on strike two. Hang in there.
I believe you are correct. I don't think soft neck is known to flower. I also think the softneck is better suited to this climate. But every time I think I get hardneck/softneck sorted out, I get proven wrong so don't take my word for it.
The garlic I have was commonly grown in this area, perhaps like an heirloom. It grows wild in the ditches and some fields. I leave mine in ground year around like a perennial although the foliage dies down. It is a bit hotter garlic, does not form but one or two bulbs per plant, it does bloom yet seems to be suited to this climate. If you want to try a start of them, I will gladly share when digging time gets here.