Bowens TravelPak + replacement Lithium batteries

I've just come into possession of a Bowens TravelPak to use with my Bowens GM500 when shooting outside. The batteries, unfortunately, are dead. They are easily replaceable, however, as they are standard NP12-12 batteries, and there are plenty of instructions going around on how to replace them.
My question, however, is: would it be feasible to replace them with Lithium-ion batteries? In terms of the format, there are NP12-12 equivalents (like this one), which should last longer and weigh much less than the old-style SLA batteries. I am not sure, however, whether they would be able to safely discharge at the rates required to power the strobes.
Does anyone have any experience with anything similar?

How do you plan to recharge the lithium-ion batteries?

Not to be too dramatic, but this could be a life-or-death question. Lithium-ion batteries - or rather explosions and fires caused by Li-ion batteries - have been in the news a lot lately.

Reading the link you provided, it sounds like the battery manufacturer has addressed the recharging issue. As for the safe discharge rate, that is probably a question best answered by the battery manufacturer? Not the kind of thing you want to guess about.

Well, that was precisely my concern... I wanted to find out if there was a safe way of doing it.

I could use a lithium battery charge and recharge the battery directly, but that would mean disassembling the battery enclosure every time it needs to be recharged,
If there was a safe way to recharge it using the provided charger (which was meant for SLA batteries), that would obviously be ideal. The original charger has an output of 12V/2.0A, compared to the battery's recommended 14.2 V - 14.6V, max 6A.
What I am trying to figure out is if it's safe to charge it with the included charger for Pb batteries (at a lower voltage), even if it takes longer to charge, or if the higher charging V on the LiFePO4 battery means that it cannot be charged that way.
Another option would be to get a Lithium battery charger and change the plug so it fits the existing socket - although I'd rather not be chopping and soldering wires... Plus there is the issue of not knowing if the current socket/wiring would withstand the max 6A that the battery would draw when recharging.

About the discharge... The LiFePO4 battery's data sheet shows:

Maximum Continuous Discharge Current	12A
Peak Pulse Discharge Current (~3 Seconds)	30A

I'd like to figure out if recharging the capacitors on the flash heads between shots would exceed the 12A.
The manual for the Bowens GM500 shows that it is fitted with a 5A fuse for circuit protection, so I would assume it would not draw over 5A. But my knowledge of electricity is only high-school level and high-school was a good few years ago...