I'm not in the military, but common sense would suggest that if the SEAL is being supplied a timepiece by the Navy, it will be the least expensive tool to get job done. If that happened to be a JLC, then sure, why not (not sure what the circumstances would be, though)? Although a G-Shock makes a lot more sense no matter how you slice it. Any kind of repair or maintenance to a JLC would cost more than a half-dozen G-Shocks.
And if the soldiers/sailors/etc are allowed to buy their own equipment, how many could afford (on a military salary) a multi-thousand dollar watch to be deliberately brought into a situation where it could be destroyed?