I read online that when away, if you remotely unlock the car, it would trigger charging for 30mn.
This was true for our 2014 i3 which turned on the HV system and then the DC-DC converter whenever the doors were unlocked, remotely or in person. It occurred less often on our former 2019 i3. It almost never happens on our current 2021 i3, almost certainly due to its LFP 12 V battery with its 0.5 V higher resting voltage compared with the OEM battery. This behavior might be different for different i3 integration levels (i.e., system software versions) rather than for different model years.
In our 2014 i3, the DC-DC converter would remain on for up to 30 minutes after our i3 was turned off. I timed this at one point. However, at other times, the DC-DC converter might not have remained on as long. It turns off when the 12 V battery is sufficiently charged even with the HV system still on. I've not timed how long the DC-DC converter remains on in our former 2019 i3 and current 2021 i3.
So I opened the frunk and left the car locked for a wile to measure the battery resting voltage, it was 13V which is good
I left the car like that overnight and measured again in the morning it was 12.86V which is not bad.
The voltage difference was likely due to the battery's voltage stabilizing after having been charged. It takes a few hours for this to occur. 12.86 V is probably the true resting voltage of a fully-charged AGM battery at your battery's temperature while 13 V is not. I have 12 V system logs that show that the overnight discharge from vampire always-on 12 V loads does not lower the voltage noticeably.
I then unlocked the car with my phone to see if that would indeed trigger the charge, but the battery briefly dropped to 12.1V then stabilized around 12.4. This means unlocking the door did NOT trigger the charge. I also physically opened the door and no difference.
If your 12 V battery is in good condition, the battery's voltage must not have returned to its resting voltage after the significant short-term load and voltage sag caused by the LV and HV systems starting up. The resting voltage shouldn't decrease from 12.86 V to 12.4 V due to this discharge. I've seen the OEM battery's voltage sag to as low as 11.9 V immediately after unlocking the doors. I don't see a similar voltage sag with my LFP battery. Because of this discharge when the LV and HV systems start up, the 12 V battery charging that could occur after remotely unlocking/locking the doors might not replace the charge lost. Your tests verify this for your i3.
I next checked if the charge would continue for a while after disconnecting, but 10mn after the battery was back to its resting voltage of 13V, so that did not last.
How long 12 V battery charging occurs depends on the charge level of the 12 V battery, the 12 V system power demand, maybe the battery's temperature, and probably other things that aren't documented publicly.
Early on in 2015 when I first stored our i3 for 6 months, I had hoped that maybe remotely locking/unlocking the doors periodically could maintain the 12 V battery's charge level while away because I had noticed that the DC-DC converter always turned on when I unlocked the doors (I had a voltmeter plugged into the auxiliary power port below the center of the dashboard where it was visible through the driver's window). I didn't know at that time that an i3 could automatically, repeatedly charge its 12 V battery for 1 hour while parked when the battery's voltage decreases below a certain limit. However, this behavior isn't documented, so it's safer to disconnect the 12 V battery when an i3 won't be driven for more than a month.