Don't assume remote start charges the 12V battery.
I've seen it said on here a few times, one case in particular where someone specifically asked if the 12V battery would charge if they remote started their car, that yes it would. Well, it doesn't appear to. I have an Ancel BM300 Pro battery monitor on mine to keep an eye on things after I replaced the battery it came with with a bigger better one. Twice now I've remote started the car and either looked at the live data before "starting" it after getting into it, or reviewing the logs afterwards. Both of these times, while the car was "started" but waiting for me to actually get in and ready it to start driving the voltage at the 12V only went up to a fixed 12.6V during the remote started state which is not really charging voltage. Once I actually put the car in ready state, it jumps up to 14.3-14.4V as you expect to see when charging.
Unless someone else can offer a different observation with remote start, mine seem to suggest that relying on remote start to keep the 12V system charged is a no go.