What that refers to is the Honda app.
The original was “my Honda” which then changed to the “my Honda+” app.
The original no longer works and has been cancelled.
You still get the same level of service etc. you just have to phone up.
I hope that's correct, but it's not what the page seems to say:
"Please note: this page refers to Breakdown Assistance for cars not compatible with My Honda+."
My car (MK3 Jazz) isn't compatible with My Honda+, so the comments about the service being unavailable seem to apply. I have the "Honda AA Assistance" app which still seems to work, but I'd prefer not to find out the hard way.