Good idea. You can also have a nearby converter share the fat inverter wires to the battery. The neg wire can go to the inverter since the inverter's neg goes to the Trimetric shunt, which means you can still see the panel amps on the controller's display and how many of those amps are going to battery charging on the Trimetric. (The difference is solar amps going to run things in the rig)
You do need a way to switch off the panels from the solar controller so you can do that before disconnecting the controller from the batteries for any reason, as mentioned above.
One thing with using the inverter terminals as a buss, is fusing. Same rules apply as for "branches" on a buss.
The pos wire from the controller to the battery will now be "branch" wire. It should be fused according to its own thinner AWG, and the fatter wire from the inverter to the battery will be fused for that fatter AWG.