Thx for the reply, Lucian.
But as I said, I can communicate with the device without the Grove2Pi+, using Switchdoc Labs Pi2Grover. So the device does work. It gives me correct distance readings.
The shutdown pin indeed is active LOW, meaning it will SHUT DOWN. To keep it on, it has to be inactive, meaning it has to be tied to Vdd.
There is no schematic to include: SDA is SDA, SCL is SCL, VCC is VDD and GND is GND, while keeping shutdown tied high over the built-in resistor of the satellite board made by STM themselves.
And as I mentioned before, I have a similar problem with the HDMI to LVDS hub of the PiTopCeed. When that one is attached, the GrovePi is also not operational i.e. the 0x04 address disappears.