The Inmarsat Isatphone Pro allows it's GPS position to be sent as the content of a text message or email with just a short sequence of button pushes. I assume---but do not know if---the current Mk 2 model has the same function. It's not 'panic' button simple, but it's there. You can also have the phone display it's GPS position coordinates and type them into a text or email.The satellite phone's lack of giving location to me is a risk. If I hit my head and am not lucid enough to relay GPS coordinates the phone is not much help. I don't know how easy it is to pinpoint a satellite phones location.
Since I travel alone I like the ability to keep in touch with my family. The inReach prerecorded message with map and pin is what I use most. Texting back and forth when needed has been sufficient and the ability to get a basic weather report has helped on a couple of occasions.
I agree that the inReach system is good overall choice at a somewhat reasonable, cheaper-than-satphone price.