I've been running that same Ballistic 4-cell for three years now and it has been rock-solid. The battery is utterly inaccessible (the simplest way to access it involves removing the engine from the frame), so being bomb-proof was a priority! However, my bike is kick-only and running a permanent magnet alternator with a solid-state reg/rec; the battery voltage remains pretty constant.
The Ballistic website and literature hammers away that these batteries are very sensitive to charging voltage and can be killed by a single deep cycle. For a bike in perfect tune, that starts at the first touch of the button with minimal auxiliaries and a perfect charging system, this 4-cell could be good starting battery. For the typical street-bike start-up/development purposes, ie., testing, cranking the bike over a bunch, idling/low-rpm with the lights on, testing the charging system, etc., I don't think this battery may be up to the abuse. Running your 4-cell down flat and then pulling it back up with an overnighter on the charger even once might have been the end.
Your battery may be dead dead. But if, like me, you're fairly wedded to the idea of using this particular battery for the size and shape of it alone, you might be able to get away with it once everything else is sorted. Use a larger conventional battery for all your early-stage tuning and testing until you know the bike is starting very reliably/easily, and that the charging system is reliable, consistent, and steady. Once all the gremlins are worked out, switch back to the Ballistic.