I tried to post a stock-count schedule in Fabrikam and nothing happens too.. no batch gets created.
I made sure the Autopost feature isn't select, which technically should create an Inventory Adjustment Batch to post..

What baffles me from the DEXSQL trace is that the batch gets created, but it gets also DELETED..
Then GP adds in the batch all the items to be adjusted.. but at the end it does something weird, maybe because I got an error report on screen regarding serializations which would prevent the items to be posted..
And my Stock Count schedule is still there for corrections / updates. Which means maybe you do have one item that prevents the whole adjustment to actually get posted. You'll have to fix that first..
PS: somehow pasting DEXSQL trace lines here doesn't work anymore.. I'm getting error when trying to save the response