The majority of INS platform drift is from a thing called "tilt error" - where the IRS initially misjudges the exact direction of the gravitational vector during alignment. All this will do is improve the accuracy of the accelerometers but will still have the drift caused in the INS itself. How will this make such a large improvement over what we have already?
Let's use a magnetometer as an example. Inertial navigation system (INS) is just using the magnetometer as a compass, so errors in bearing accumulate over time. Instead, if you built a map of magnetic field strength, the slight spatial variation of field strength would let you precisely localize on the map.
In robotics parlance, this is the difference between dead reckoning versus SLAM (simultaneous localization and mapping).
Traditional dead reckoning is reasonably accurate over moderate timescales in the mostly empty ocean as subs are big/stable and relatively slow. Thus the existing approach of only occasionally surfacing for GPS. This is therefore more a supplement as being able to regularly recenter even a few times a day is good enough.
The earths magnetic field is not constant. I don't know how much it changes, but I know magnetic north drifts a bit every year. And every once in a while the field reverses (IIRC we are like 10k years overdue for a reversal if we read the history of them right - a lot of guesses go into that of cousre)
There’s nothing saying that you can’t do a re-localization or remapping path with basically infinite frequency, or any frequency that we know that there is variance around. At a minimum then, it becomes a better standard for which other things can bear on.
I didn't mean to imply that it wasn't useful for practical purposes. That is what the article is about. I just meant to point out that there are limits and disadvantages to work around. I'm expecting to make this useful they will have to have a team to constantly remap the earth, and send those updates to whoever needs the information.
The accuracy of the reading determines the error. If today's error is so large that you have to resurface for GPS several times a day to reset it, maybe this can lower that error so you only have to resurface several times a month.
A long, long time ago I used to work as a technician in a shop that aligned INS for aircraft (although I didn't work on them myself). I think what the OP is referring to is that during the alignment process, the assumption is that the acceleration due to gravity is always perpendicular to the INS gimbal frame. So if there are any errors in the INS leveling during alignment, they can cause errors in the INS calibration. I assume this is what the OP means by "tilt error" (although this is the first time hearing of the term). These errors then get compounded during use. You can look up INS alignment processes for more information.