Article is a bit harsh. There are already more than the 3 common systems
GPS - US
Gallelo - EU
Glonass - Russiua
Beidou - China (comes online this year)
India has a regional version,
Japan does too.
It is NOT unreasonable to avoid having such a strategic resource tied to a supplier not controlled by the state.
The UK military would be one of the few countries without direct access to GPS while being in the top 10 by spend. S Korea (a US satellite) and Saudi (with its own issues) being the only others.
It doesn't have to cost so many billions - its not as if the Uk hasnt built GPS satellites before. The ground infrastructure is indigenous as well.
India and China both proved that full continent coverage could be achieved with 8 satellites. The UK could cover local requirements with similar. It could do it with less, by side loading something like the French DORIS system for better coverage at the fringes as range extenders.
UK interests are likely to be UK and Atlantic, EU and USSR and ME (for military). It has lots of little possessions around the world which could be DORIS stations.