The TiltBridge has two* radios on it - one for Bluetooth and one for WiFi. The Bluetooth signal from the tilt is only so strong - the TiltBridge has to be in range to pick it up. Similarly, the TiltBridge’s WiFi radio is only so strong and must be close enough to the WiFi router that it can be picked up.
The TiltBridge does “boost” the signal in the sense that it “hears” the Bluetooth broadcast and rebroadcasts it freshly over WiFi. (Think criers posted along a wall, just within earshot of each other. Crier #3 cant hear Crier #1, but if Crier #2 yells what Crier #1 said, Crier #3 can hear the message)
If you imagine a scenario where you have a stainless conical inside a kegerator, you have two metal walls you’re trying to get through. If you place the TiltBridge outside the conical but inside the fridge, the Tilt’s signal should be able to be heard by the TiltBridge, but the TiltBridge’s signal may not be able to be heard by the router. An option would be to do what
@IDMaynard suggests, and place a dedicated repeater in between the conical and fridge wall, which would then retransmit the signal fresh and allow it to be heard by a TiltBridge outside the fridge. That TiltBridge then would - hopefully! - be in range of the WiFi router since it wouldn’t have any metal walls to traverse.