Granted this more targets ghost war but now that breakpoint has a feature for having temporary buffs via perks like gunslinger etc, it can't be too hard to add temporary debuffs either.
Imagine that depending on how much stamina your missing if your accuracy and handling was reduced as well. So if your stamina bar is:
95-100 no reduction
85-94 -10accuracy -10 handling
75-84 -20
65-74 -30
55-64 -40
45-54 -50
35-44 -60
25-34 -70
1-24 -80
Exhausted is -100
This would make people manage their sprinting and stamina and even their builds more important and doing a full on sprint across the map more risky. Obviously numbers could be tweaked differently but that's just an example to start with. This was something I suggested in wildlands but was told it wasnt a technical possibility. Now it could be...
Just imagine how you could expand perks and classes to benefit/reduce this mechanic as well. Suppression could be reducing someone's stamina rather then dealing with the annoying acreenshake etc.
Just some thoughts.