When the receptacle springiness disappears, they generate heat because the connections then become less conductivd. The heat that's generate further weakens the clamping force on each tine..... resulting in more heat.... resulting in more resistance.....up to and sometimes including: immolation.
If they're loose now, they'll not get tighter and they are at that point in time, dangerous.
Sometimes you can extend service time by bending the male prongs to put more pressure on only one side of the contacts. If you don''t have something that calls for 80% of the circuit rating..... you may not burn up. Or not!
I recommend telling the venue person that you'll change out the cheap back-stab receptacle with a Hospital Grade, green dot 20 Amp. Then hope that you're receptacle isn't daisy chained to other overheated receptacles, closer to the supply.
Those 15 Amp back-stabs are a fire waiting to happen. You will NOT find any back-stabs in anything I own, live or work in.