For a cell like the PLB 26650 5000mAh (LiitoKala INR26650-50A), at 3.6V no-load less than 2Ah of capacity are left (to infer this just look at the 0.2A discharge curve and maybe add 25 - 30mV because of the very small additional (besides I × R) loaded cell voltage drop. Other cells (different chemistries and etc) may vary.

With regards to deep cycling being detrimental for li-ion… I've heard it many times, but found absolutely no proof of it, whereas high voltage (high state of charge) is known to be detrimental and there's plenty of experiential and experimental proof. Thus, as far as I am concerned I'm gonna give that a Big Bullsh1t Award.

Cheers ^:)