No worry, that will work

The miner is just no longer spamming to the whole 0.0.0.0 range

Or speaking differently: if you are in same local network you still should be able to connect your browser to your rigs, no worry.
Not all miners (especially big ones) have their rigs on the same subnet.
So it's a valid scenario ...
Now I'm stuck with using 1.16
Please add option to specify IP of network, along with the API port !
Thanks !