Hi Alden;
Good question!
My first off the cuff
answer is no.
However being the rocket scientist that I am... give it a go.
15 volts is fine 24 is getting up there. You probably won't hurt the battery's but the charger might heat up and ???
If it gives you 6.5 amps @ 12 vt great! But then it says 100 watts max ? I believe that is about 5.5 amps @ 12 vt
Use a multi meter. to monitor voltage getting to the battery's. Check the transformer for how hot it is getting.
Try it out and let us know! But be careful ... electricity can hurt.
I suspect if you bought a modern trickle charger for automotive use it would use less electricity , charge your battery's better and not have a chance of melting down.