It could be an advantage if the rp2040 had a decent low power mode - then you could only turn on the wifi when you need it (eg data upload every few hours) and run for a year on battery. Alas it doesn't...
I think the main advantage (to some, in the current geopolitical climate) is that it's not Chinese.
The ESP series can disable wifi/bt entirely if needed, their low power sleep is pretty good. IIRC someone got a year or more out of a single 18650 cell doing very slow updates.
https://www.adafruit.com/product/5526
Bluetooth support is supposed to be added in the next version of the SDK.