The space used by the insulation means less turns of smaller wire in a given space,
meaning thicker (longer) expensive magnets, higher coil resistance, less output, etc.
It's only "low budget" if you do not have to make it 10 times before it works.
GM starters I had yield about 3.3 ounces of ~19 gauge.
Big (bigger the better) older TVs have a Lot of wire, maybe 21~23 gauge, sometimes a couple/few pounds.
Bigger is more feet of thicker wire.
Magnet wire is by far the easiest thing in the whole system to scrounge for free.
It should be a non-issue.
I wouldn't use it for a serious windmill,
But for 1st projects and experiments it should be fine.
G-