When using a sextant in a boat, one does not travel that far while computing a location. In an airplane one would travel a fair distance while doing the location process, which would have to be applied to the results.
On my last boat I built an integrated system with a GPS, laptop with NAV Software package, interfaced to autopilot and radar screen. I could cross a channel with current running strong and boat would say right on the rub line. Destination way point on the radar screen was a nice check feature to know the destination was a valid point on the water and not on land somewhere. Running set courses all the time that were verified to not have navigation hazards in my path, greatly reduced the chance on a grounding.
Everything was switchable. Two GPS's(one up and one down, also with charts) could be switch to feed the autopilot directly or via the laptop. Laptop drove a HP anti glare 15" display at either steering station. Creating and reviewing a course/route on the laptop was much easier than doing on the GPS directly.
And of course I had paper charts on board with parallel rules, dividers and other items to chart course the old school way. Somewhere I think I still have a certificate from the Coast Guard Auxiliary small boating class while a sea scout in 1958 or 59.
The nagging issue with GPS is it can be jammed, and is a single source system. With Loran C shutdown in 2010 we have no backup nav or timing system in place. They are working on eLoran (enhanced Loran) which has a December 2020 planned date to be operational. A robust timing system is required for all modern network, computer, phone and other systems. Today that comes for GPS, a single system.