OEM says to disconnect the battery before charging. There are so many different chargers out there they cannot control what you will try to use. There are some crap versions that are rather high voltage. If you dig up grampa's old battery charger, it may charge quick and fast with no regulation. Many decades ago a tow truck gave a quick charge to a 12V battery via a 24V booster set. Crap like that + some conservative engineers = the generic "disconnect battery". Not because it is always the case, just an oddity that could cost them warranty money. Same ones that tell you that to weld on a vehicle you have to remove (list of every electronic part in the vehicle) and store them in a room far away from where the welding is happening. Read the Ford Body Builder's guide, it's in there.
Trailer towing guide, don't tow with the rear tires of the tow vehicle off the ground, don't install a hitch directly to the axle on the vehicle. Stupid things happened in the past equal stupid warnings today. Every hair drier now has warning not to operate while in a bath tub.
There is ZERO issue charging from multiple sources. Years ago before the plethora of high output alternators people would rig up a double alternator setup. I know Ford, GM, and Ram offered this as a factory option very recently. Ram does it to power the factory Warn winch.
The charge controllers look at the system voltage and regulate off that. If the battery is charged and the voltage is up, it quits charging. Doesn't matter if it is the solar charge controller or the vehicle alternator voltage regulator, that is there job. That is what they do. They don't care if the battery if full because it is just full, or full because a different charger topped it off. It just sees full and stops charging. There is no way for a voltage regulator to see interference from another regulator and decide to just keep charging. They both see the same battery voltage. If one stops at 13.8V and the other goes to 14.2V, so what? Both will charge until the 13.8V, that one sees a full charge and stops. The other will bring the battery to the full charge of 14.2V.
There is one possible way to have a fighting charging system. If you decide to invent the wheel yourself and get a shunt style voltage regulator to dissipate excess energy and wire the solar directly to the battery. This charges flat out, no regulation. And once full the regulator starts burning off excess energy as heat via the shunt. Typical old motorcycle charging system. Add this to a standard automotive charging system with slightly different set points. You could get the shunt trying to burn off electricity as the alternator is still trying to charge. But this is just a horrible bastard of parts that is not used in solar. You do find this on the mini wind farm as a way to slow down the wind turbine when it is very windy and the battery is charged. Without the load the wind turbine could run away spinning too fast. The shunt is a load to keep the speeds down.