BULLCRAP ALERT!!!!
Ahem, uh, "limpwristing" is generally relevant only to recoil-operated firearms, semiauto or full-auto.
Think about it, gents (and gentlewomenfolk, too ;-)). It's the GAS that pushes the works back, not recoil, so a "firm" shoulder is not required. Ask eClancy about the M1 Garand--it was fully tested fired suspended from strings, muzzle and buttstock, to disprove Luddite-style doubts about its reliability, before it was ever fielded.
Gas to open it up, spring to push it back forward. If the rifle requires a "bounce" of the reciprocating parts at the back of the stroke to get "enough energy" to chamber the next round, then it would also ALWAYS require a forward-assist when you are loading your first round (tripped off the bolt release = LESS energy, only the mere spring from at least half an inch less compression than the operating cycle).
If that's the case, your rifle has a problem.
Matt-man, you need to look at your rifle's ejector spring and plunger, and possibly your extractor. There should be enough "fling" action to it to sent both loaded and unfired rounds, and empty cases, clear of the op rod hump. What you describe is a situation where the cases are barely flubbing out there, then are getting whacked clear of the action as the op rod goes forward. On your last shot, the op rod stays back and your empty rattles around above the mag well and falls where you find it. Your last round's empty case *should* fall about 4:00 o'clock from your firng position, most of the rest should be at about 2:00 o'clock because a properly operating M1 or M14 type will bounce the cases off the op rod hump as the next round is chambered.
BTW, any recoil-operated pistol subject to "limp-wrist" jams is either messed up, or being fed ammo that is (a) too lightly loaded, or (b) badly dimensioned in bullet profile/seating depth so there is excessive friction or crunching on the feed cycle.
My semiauto pistols WILL feed reliably when lightly held 45 degrees off the angle of my forearm (no mass directly behind them), one finger on the grip just below the trigger guard and just my thumb on the back of the grip.
You don't have to be a "manly man" with a death grip on a gun to get reliable function--IF the thing is right to begin with.
Check your FAL's extractor to see whether it is properly allowing the round to slip under it on the feed cycle, or properly snapping over the case rim as the bolt slams home. (Sorry, I can't remember if the FAL's bolt face operates like a M1911 pistol (slip-under "controlled feed" like a Mauser) or an AR-15-type (case goes in chamber, extractor snaps over).).