This is not too simple, if your present coils will give you the cut in speed you want I would carry on. If you did a test coil with a gap that can take your stator thickness it will be ok. With 1/2" thick magnets a gap of 3/4" will be ok.
If you haven't filled all the space then you could have used a thicker wire but whether that is an advantage depends on the size of prop.
If you reduce thickness to 3/8 and your cut in was ok before, you will lower it and may need less turns. If you could get in the previous turns, again you could use a thicker wire.
You would have to give the full details of everything including prop to be able to give you a better answer. I tend to use coils 12mm thick for the metric 10mm magnets and the stator usually comes out about 13mm thick. For 1/2" magnets, coils 1/2" thick should be ok ands hould still run in a 3/4 gap.
I muss confess that I always take the connection from the inside via a thin copper tape and this does mean a thinner stator than if you bring a #14 wire out.
Either way as long as you can get your cut in speed with the stator thickness it will be ok. If you want to run a bigger prop you would need to use the thickest wire you can get in.
Flux