put a meter on your phone when recharging with a 2A output portable charger, then begin using your phone, betya the Ampage drops to about 1A. Due to thermal throttling.
In a purse where its more for emergency power to make a call with a flat phone, actually in that scenario, the phone would not take much more than 1A anyway.
My wife's phone, I did exactly that test, if I turned the phone off and let it recharge, it drew between 1.3A and 1.6A, if I turned on the phone and began using whilst recharging, it dropped to 0.6A.
From that test, I concluded, to have an emergency phone recharger, as small as possible and 1A output, was a balanced solution.
But different situations, different optimums. I don't have a purse, I have trouser pockets and I prefer the 5000 Slim.