It might, but the blinking is due to the circuitry surrounding the battery, not really the underlying battery cell. At least older eGos used a MOSFET that was rated at 2 amps nominal, some would handle a bit more current, some less, but it was a crap shoot what would happen as you approached 2A draw. Whether they have actually changed to a higher rated MOSFET beats me (I use a VV mod now), but as you get around 2A draw you could be either over-stressing the MOSFET (possible premature failure) or tripping protection circuity.
It sounds like that particular battery still works OK with higher ohm cartos/atties. I'd stop trying to use cartos/atties that are making it unhappy, so you don't actually end up breaking the battery.
(I know people use LR on stock eGos/Rivas, but it's buyer-beware at that point -- things may work well, they may not.)