Bryan , the reason why you have not recieved a lot of replies stating that they used X chemical to fee up stuck rings and it worked perfectly is probably because it would not be a conventional repair or cure to the problem .
You have no way of knowing " how " stuck they are and what is causing them to stick – is it old dried up oil ? Possibly , is it varnish build up ? Possibly or is it carbon build up ? Once again possibly or are the rings broken ? Possibly and no amount of soaking with any chemical known to man will fix that !
The reason i recommended a leakdown test is to definately confirm what is leaking before you go tipping stuff down the injector hole which may or may not work anyway . Anything that can disolve what ever is causing the stuck rings will remove all of the oil film between the cylinder and piston which could cause scoring on start up until the oil works its way back in there . If you were worried about using a starter spray because it washes away the lubricant , wouldn't you be more worried about what you use to try to free up the rings ? Long before i would even consider using something to disolve the gunk would take the head off and slowly warm the piston up with an lpg blowtorch , just hot enough so if i spit on it the spit starts to sizzle . You could then try some hot ATF ( yes hot ! Warm it up in a tin with the blowtorch applied to the bottom of the tin until it starts to smoke ) in there and let it soak overnight . At least that way you are using something with a lubricant not a solvent or corrosive .
You mentioned in your pm that the engine probably stopped at TDC – this is unlikely but not impossible , with the mass of the flywheel and generator rotor it would tick past tdc and keep rotating until it hit the next major resistance – the compression stroke , it would have bounced back a little -maybe back far enough to hit the bottom of the power stroke and could have stopped anywhere in-between , in-between those two extremes both valves have opening and closing events where the valve springs are compressed . This was a real problem with engines like briggs and stratton that had little short mufflers as the exhaust valve would sit there open and condensation would set in rusting the valve face and seat especiall if stored over winter like this -if i only had a dollar for every time i have seen that !