A decent number of protected batteries have current trip points in the 2C+ zone, so a 3000 mAh can be used to push over 20W (3.7V x 6A) They don't, however, tend to provide as good a discharge characteristic at high amps -- may tend to be a bit saggy, provide a good chunk less than the nominal total capacity.
I like AW, they have consistently good performance, whether protected ICR or IMR, but don't automatically knock everything else. I've used black flamejacket Trustfire 16340 in a stacked VV, they worked fine, and their protection circuit really did cut in when drained far enough.
(The best batteries in that particular PV, from a runtime perspective, happened to be "non-protected". They actually do have some minimal protection, PTC, but I would never use them in a PV without knowing that the PV itself had multiple layers of protection, is a truly engineered device. I get as good or better run time from a pair of those 16340 as I do with a pair of AW IMR 18350, in devices using precisely the same electronics.)