As a semi-permanent solution, you can disconnect the modem internally. The process takes just a few minutes. These instructions are based on an Airsense 10 as sold in the US, containing a CDMA modem-on-a-chip by Telit, model CE910-DUAL.
Usual warnings: I will not take responsibility for damage to your equipment. Doing this might void your warranty. Doing this might annoy your DME vendor. And so on.
Required tools:
- A Torx T-10 screwdriver.
- A plastic scribe(s) for prying the case apart. A credit card or other piece of thin, rigid plastic might substitute. If you are willing to risk causing some damage to the case, a flathead screwdriver could be used instead.
- Start by unplugging the Airsense 10 and removing the water tank and hose.
- Remove the shiny black front bezel by prying at the indentation in the bottom. Fingernails should be sufficient. You can instead pry gently from the top. Again, fingernails should be sufficient.
- Remove the two exposed T-10 screws on the front of the Airsense 10.
- On the bottom of the Airsense 10, there are eight screws. Remove only the two screws at the very back of the CPAP, about 3/4" up the side.
- On the lower front of the machine carefully pry the upper housing FORWARD - there are several clips that run horizontally back into the machine.
- On the lower back of the CPAP gently pry the upper housing up and out. Take your time.
- Remove the upper housing from the machine.
- On the circuit board on the front of the machine, find the SD card cage on the left. Just below it, find a small black connector labelled J302 with four white wires running to it. You want to disconnect this gently. Place something smooth and flat under all of the wires and gently lift up. It should disconnect very easily. Do not force it.
- If you want, test the machine before reassembling it. Plug it in; make sure it runs. Under the "Options" menu, select "About". You should see blanks in the modem fields.
- Put the top cover back on. Proceed gently. You will need to press in on the front edge. Reinstall two screws in the front and two on the bottom. Replace the front bezel. You're done.
P.S. to anyone from ResMed reading this: some of us do not consent to sharing our sleep data you. I was very tempted to have my DME supplier swap out this ResMed device for another vendor's CPAP. I hope your future machines have an easy option to disable the modem and leave it disabled. Perhaps the modem could be an easily-removable add-on, as with your S9 CPAP or Phillips' machines. Or perhaps you could have a hardware disable switch hidden inside one of the side panels.
Here's the machine with the front bezel removed. Remove both of these screws.

Remove these two screws on the base.

The front edge of the top housing, showing three of the five clips that extend horizontally into the CPAP:

The main board showing the white modem wires connected to J302, just below the SD card cage:

Close up:

Disconnected:

Success:

Here is a video showing the process. This video shows not only how to disable the modem but also how to remove the modem entirely as well as tear down the blower chamber for cleaning.