If your car is not on and you open the glove box, no light appears.
Yeap.
Thus indicating that the fuse is switchable.
A fuse is not switchable. A fuse is a fuse. A fuse is a safety item.
I will tap directly into the fuse as the fuse becomes activated with the starting of the car...and, or course, the fuse becomes inactive when the car is shut off.
The fuse doesn't get activated or shut off. It's a safety device.
This last statement may not be wholly accurate
Basically most of your car's function will not be able to be powered without the car being "on". In a more basic car, switching your key to position I will power everything but the engine. Put it in position II and engine receives power, you hear your fuel pump start, etc. Position III engages the starter motor obviously.
With the key not either out of ignition or in Position 0, the only things that get power is the light around the ignition and the interior lights, including your trunk's lights. Everything else gets powered with the key in Position I.
Things like your glovebox lights will only receive power when you open the glove compartment and the light circuit closes. Only then will current flow through the fuse. It's the switch that is activated by the opening of the glovebox, and not the fuse.
If I were you I'd try to find a subsystem that gets power with the equivalent of the key in Position I, since you have keyless go.
Things that operate with a switch/ actuator won't do, unless there's a secondary power line.
For example, in my S60, the radio unit also has the interior light sensor and has two power lines feeding it. One that is for the sensor and memory and a second for everything else. If I were to install a V-1 (whatever it is) I'd steal power from the first line.
If I were to install something that I want to have power always, I'd steal power from the power line feeding the ignition switch.