An extra box which based on current coverage map provides GSM level coast-only coverage of unproven reliability doesn't hold much appeal, even factoring in how expensive satellite broadband is.
With regards to SpaceX ratting on our location, I don't think that would be a serious worry but in any case whenever shit gets serious a warship will go into "black hole" operations that block any non-essential comms. I no longer work for the navy but I can imagine that would involve physically cutting power to the starlink dish.
This will be amazing for retaining crew while sitting at anchor outside of Panama for day 27 of who knows how long.
You can prepare for a 7 day cruise between ports when you're going to be pretty busy anyway. The madness of seeing land and not being able to do anything for weeks on end is hard to describe.
I sat through a Vodafone presentation at a maritime comms conference a couple of years ago and he quoted just how high a percentage of the world's commercial shipping traffic was within range of his LTE networks. The ability to provide high speed internet within sight of [most] land has been around for a while, at lower costs than Starlink. If providers haven't added it to their crew internet provision, it's not because they've been waiting for Elon.
But over a few years, if Starlink delivers on it's ambition, I'd expect a steady stream of converts.
Well that's the least important analysis compared to looking at what should be available in a year.