Yes, the different battery types mean that the charging profiles are not ideal.
And to clarify, the battery separator is designed to prevent either the camper or the truck from discharging the other. Meaning if you left your truck lights on, the separator would disconnect the camper battery once the truck battery got too low, and vice versa, if you are using too much power in the camper, the separator disconnect the truck battery so you can start it and go home.
AND, it is designed to allow a charging source to charge both battery banks, regardless of where that charge originates.
Thanks Vic, I didn't know the separator would work in both directions and that appears to be what's happening.
My separator must have detected low voltage in my truck battery and sent power to it in addition to my camper batteries. It sounds as though it is working correctly and would explain why my truck battery tender would not go into float mode with the battery showing 13+V
I am now suspecting my truck battery is having issues. The trickle charge is good as I checked it on another vehicle and it does go into float mode. The folks at Interstate Battery told me my truck battery was at 12.4V and suggested my battery needed a proper charging/reconditioning. The Vector Battery charger I used at home indicated the battery was full and would not accept any charge or reconditioning.
More sleuthing today....