In a few words, nothing happens for me. I installed my The Other Half and nothing happened. I tried following the guide, so I switched off my Jolla and removed and re-attached The Other Half, then switched my Jolla back on. Nothing happened. No dialogs, no new ambiences, nothing. Only a slowly flashing Jolla sign on the back of the cover. I obviously have an active internet connection and a configured Jolla account.
Most of the concrete documenation on TOH is probably still from JP1 times where, in its most basic form, swapping out TOH for another color also swapped the ambience. Back then the phone communicated with TOH by NFC.
For the JP2: I don’t think the regular TOHs (black, white, orange) have any electronics in them. Inari Blue does to drive the logo.
The real usefulness of TOH will most likely come time by time as people develop gadgets for it.
When you search the forum for “The Other Half”, you will find a couple of threads where TOH and its potential is discussed in more detail.
I would be interesting to find out what that button drives, e.g. if there is a dbus service or something behind it that can be accessed from Automagic.
It’s probably meant to help the phone identify the connected TOH. Maybe Jolla plans to do something about it later on the software side (or at least leave an option for doing something).
The point of electronics in a dumb TOH in general is to be able to tell what color it has and change ambience from it (not yet delivered?). The point of an LDO specifically is presumably to dive the other chip which holds the identification.
The other internet says it’s a Giantec GT24C02 series I²C serial EEPROM, a 5 volt device with 2 kilobits of storage (256 bytes). If this is indeed true, the point of it might be to store an id of the Snow White cover so the phone can recognize it when connected.