So if you had 3 batteries tied together on a inverter and had solar recharging those deep cell batteries you could cook those batteries?
I didn't say that exactly. I said that tying a solar panel directly to a battery or multiple batteries can lead to problems. If you use a cheap charge controller, it solves the overcharge and discharge issue.
If you are tying multiple batteries in parallel, they all need to be of similar type. A normal wet cell automotive battery has a slightly different voltage than a lithium battery, or even an AGM in some instances. That means that due to the differences in voltage, the charge current will not be equally divided between the batteries.
Unequal charge current happens even with batteries having the same nominal voltage (battery type). The key there is that the one that has less charge will hog the current until the voltage of each battery becomes equal and then they will more or less equally share the current. This is a simplification but should suffice for this discussion.
This is exactly what happens when you jump start a battery. Both batteries have a voltage (related to the amount of charge) and since the "dead" battery has a lower voltage, it will actually get current from the fully charged battery. Ever wonder why starting the car with a good battery helps do the jump start faster? Think about what I have said. When a battery is being charged, you do that by hooking it to a voltage higher than itself, causing current to flow. The greater the difference in voltage the greater the current. So instead of the source battery having a nominal voltage of around 12 volts, when it is being charged, the alternator is actually boosting the voltage across the battery to between 13 and 15 volts. That higher charge voltage is then applied the dead battery and more current will flow.
A solar charge controller is very similar to the voltage regulator in your car. If any of you have had the voltage regulator fail, in one mode it can lead to overcharging and will boil (ruin) the battery.