It's definitely something more like the Starfleet comms badges than any sort of telepathy. Given advanced 52nd century technology and what you've said and what we've seen in canon, I'd suspect they might still work a bit.

But personally I'd be happy to suggest that they are interfered with (maybe enough to talk a bit like a cell phone with lousy reception) and definitely happy to say that it doesn't let anyone talk to anyone back on the ship. But maybe some sort of "hey Harper *cracklecracklefzztpop*" enough to prove to each other they're alive might be possible.

(Dylan is going to hate this planet for making his implant squeal at him.)

I'll point my crew in a this-post-wards direction and we'll confer. :)