InReach and similar devices use Iridium SBD, which is more like text messaging than an actual internet connection.
Iridium does offer voice and data services too, but terminals for that are significantly larger and draw more power, and the price per megabyte might bring tears to your eyes for recreational use. (Iridium Certus gets you 88 kbps at around $5/MB, and devices start at around $1500.)