By charging at 13A each charging session takes longer and is less efficient than if you charged at 32A using the Tesla Mobile Connector and the 14-50 adapter. There is fixed overhead whenever the Tesla is powered on. The faster you complete the charging session the less the overhead is a factor in the overall charging efficiency. Low and slow does not matter when charging at home as even the highest charging rate (48A) on a 60A circuit is 1/7th the capacity of the Tesla battery and not an issue.
When new the Tesla vehicle battery management system (BMS) has limited available data about the battery pack. Over time the BMS collects data on state of charge of the cells in the battery and refines the upper and lower bounds of the battery when fully charged and discharged. There are several things as a Tesla owner you can do to let the BMS continue to collect data and refine the algorithm that establish the state of the battery. Periodically charge above 95%, then operate the Tesla vehicle so the battery charge is depleted down to 30% or lower over several days if needed. This helps the BMS refine the upper and lower bounds of the battery. Another thing that Tesla owners can do is set Sentry mode to be off when parked at your home location (at least some of the time.) Periodically the BMS will measure the open cell voltage (OCV) of the cells within the battery. This can only be performed when the Tesla vehicle is in a sleep state and the high voltage battery is disconnected from the Tesla vehicle. Sentry mode and Summon standby prevent the Tesla vehicle from entering a sleep state.