Garmin InReach does use the Iridium network. Are you asking about any service using that network, or services/products offered direct from Iridium? Several vendors partner with Iridium (I have a post asking for feedback on the Zoleo product, which also uses the Iridium network).
Another one to look at is the iridium go. I work in the marine electronic field. The in reach is a great product but almost every Capt gets the go instead. You can make phone calls as well as text plus some data for emails if important. Just one more option To look at.