You should persevere with the 'normal' way of making footings. It's done that way for a reason...
What you need is some material that is suitable for footings rather than trying to make unsuitable wood work.
With good footing wood then you don't need to clamp the end of the cut when fitting. If it splits while fitting it wouldn't make a good footing anyway.
To make shafts with a router the best cutter is a staff bead cutter, the radius doesn't matter too much.
My jig basically has two holes through which the shaft spins. I don't make bigger than 11/32nd arrows and can therefore cut my stock into 3/8th squares. A 3/8ths square is 1/2 inch corner to corner. So the first hole is a 1/2 inch giving a tolerance fit between square stock and jig. Make a brass insert with the hole in it or else the hole will get bigger over time.
The cutter sits just behind this hole. Then there is another brass insert in a piece of wood with an 11/32 hole (or finished shaft diameter hole).
You need to be able to adjust the jig sideways so it can touch more/less of the cutter and the also adjust the height of the cutter.
If the shaft comes out small move jig away from cutter.
If shaft runs hot in the exit hole move towards cutter.
The spiral you've got in your shafts is due to unwanted movement/vibration.