For sure. 1000%. Anyone disagreeing with this has lost their marbles.
For those that have lost their marbles: sure, people use words incorrectly, but that does mean we all have to use those words incorrectly.
In compute vernacular, "edge" means it's distributed in a way that the compute is close to the user (the "user" here is the device, not a person); "on device" means the compute is on the device. They do not mean the same thing.