It works both for me, can't say that one takes precedence over the other, it simply depends on the situation. However, I really prefer the more extrem setups in both cases: stuck cars turn me on most when the car is really sunk to the axles in deep sticky mud, with the driver still believing he can get out without being towed if he only tried long enough. So spinning wheels on wet lawn will not do it for me, I guess lol.
With cranking, it's somewhat similar since I do not prefer fast cranking starters/engines, but those old rotten cars where the battery is almost completely drained / dead already, so the starter would already be unable to turn the engine over upon first attempt. The driver would realize that for sure and as a consequence, he would wait almost forever before trying again, thereby giving the battery a chance to recover a bit (which it would not, of course). So he would not be able to do anything than sit and wait (which would be REALLY hot to me). And then, when turning the key shorly over: still nothing..... :-).