My government (Norway), seems to be going (link in Norwegian https://www.simula.no/news/digital-smittesporing-apper-i-and... ), for a solution where they keep all the data on their servers, and privacy be damned.
The upside they argue for with this, seems to boil down to them then having a lot more data to look at.
Having an app to help tracking infections, is something I would install. But what my government seem to be going for, no way. Way to intrusive and all encompassing.
I haven't found Simula, which is building the Norwegian app, on the list of partner of PEP-PT. So this is probably a saner initiative.