No VOR's over the oceans or in many other areas. And GNSS (which consist of U.S. GPS, Russian GLONASS, European Galileo, and Chinese Beidou) are by far the most accurate means of getting a position. VORs are going away and multiple VORs are required for position unless one is a VOR-DME. VORs are useless for ground navigation. Try receiving a VOR anywhere on the ground--good luck as unless you are close to one, you will not. Maps do not in general tell you where you are unless you are at a marked position. And UTM or MGRS does not remedy anything as it just in another way to identify a positions and has its own approximations. No other means (your cellphone uses GNSS) will give any thing even near the accuracy of GNSS. And if they shut down, you have far worse problems. The Apollo mission used the stars to navigate--try doing that in daylight and it was not not really that accurate. Military systems use fiber0-optic gyros or MEMS devices with GNSS satellite updating to neccessarily re-calibrate them (do no GNSS, they will loose accuracy over time).
I don't think the objection is over accuracy, GPS is accurate enough for surveying.
The problem that I (we) are thinking of, is the vulnerabilities that come with the new system, and if they outweigh the benefits of a long established and operational set of systems.
A good comparison is flight controls. if I remember correctly, one of the 737 Max's issue was pilots not knowing how to over-ride the automatic systems, so when a sensor failed, the automatic systems caused an aircraft to crash?
A difference is that automatic communications and navigation systems seem more likely to be exploited by the "Bad Guys", automatic radio transmissions may be helpful for maintenance purposes, but I'm not sure that automatic-unattended transmissions are a great idea.
There is even talk about how it MAY be possible to exploit 5th generation fighters advanced radar returns to "Hack" an aircraft.
I guess my overall point is that we seem to abandon working items, for 'better' systems, sometimes the old ways are best.
Thanks
Joel