Compression might be a little low but as it's even may be your gage or some such. That would not cause it to sputter and die anyway. Could be ign or carb problems. Take fuel ine off carb. turn on gas should get a good steady flow for at least a minuite. If not, you probably have plugged, dirty etc opening from fuel tank to filter. Take off filter assembly clean holes in assembley and tank outlet. (This is a fairly common problem with WD's)If you are getting good fuel flow to the carb open drain in bottom of carb and check for a steady flow there for at least 30 seconds or so. Okay here the float valve is not sticking shut. May need a carb kit, may be leaky intake manifold gaskets but first I would chek ign. New plugs, good, solid wire core plug wires (if magneto) replace condenser, clean gap or replace points, clean connections and contacts. My WD had a miss when hot and under load, bad condenser so you never know.

Dave