The thing to remember and keep in mind in all of this is whether you're using strobes with analog or digital controls. Digitally controlled strobes are not forgiving when it comes to constant voltage and the relays will flip and reset with even the slightest glitching in power.
Analog strobes are not subject to that glitching and you can use strobes as powerful as 2500ws or multi light kits with something like 4 400ws strobes.
Digital strobes present a problem and my testing and first hand experience proved that 2 D-Lite 2's, for instance, having a total of 400ws was not a problem with the V2. On the other hand, 2 400ws digitally controlled strobes totalling 800ws presented problems and was effectively unusable.
This is not specific to the V2. Myself and others have researched the Tronix Explorer 1200 and based on the specifications listed and emails from the company, they have the same issues.
If you're not going to get a pack and head system and plan on using digitally controlled monolights then your best bet is to use 1 portable battery for each strobe. It's not cheap but it's also not as expensive as getting a system with the battery designed for that system, and if you're going to use 2 batteries it doesn't really matter whether it's the V2 or the Tronix.
As to what the limit (ws) is for each battery I have not gotten a definitive answer to that but I do know that you can power an Elinchrom Style 600RX safely with the Tronix Exploer 1200. I have nothing to show that the same is true of the V2, but it may very well be the case.