Where would you like to spend you maintenance budget...
Essentially you are trading off engine stress against battery (and indirectly, generator) stress. If you always crank the engine until the acceleration starts to sag, then you've hit the battery harder than you needed to. You will shorten the battery life, and since you then hit the generator harder to top it up and cross-start the second engine, you will increase wear and tear on the generators too.
In my experience of small turbine engines they are very robust, particularly compared to their larger brethren. With several thousand starts in my logbook, I have never seen a hot start, and from what I have seen these engines usually make it to overhaul with no problems.
On the other hand, the batteries and generators in smaller turbine airplanes are generally underspecified, even though (unlike larger aircraft with APU's and ground power trucks) all your starts will be on the battery and then cross-started.
In my experience, these batteries very rarely make it to their rated life. Frequently cells, or the whole thing, will need replacing, and you should also expect periodic early replacement of parts in the generators. Unlike the apocryphal "hot start", which you can spend a career on small turbines without ever seeing outside the simulator, generator or battery failure is something you might reasonably see more than once.
So my advice is, once you've met the start criteria, go ahead and put the fuel in. The engine is designed to get hot, whereas the battery is NOT designed to keep cranking away.