When I am at home, I am WIFI only. When I am out, WIFI & bluetooth are off. This takes some discipline at first but then just becomes habit. I know the spot on my commute home where I switch my settings.
In theory it could protect location data from the carrier for locating you with a wild amount of opsec practice but I highly doubt you could pull that off for a daily driver.
Having wifi/bluetooth off in public isn't a terrible idea though as those are generally much easier attack surfaces and are leakier.
Suppose you wanted to find someone that aways turned on their phone on at ~8:15 AM and found someone that always turned their phone off at ~8:10 AM within 15 miles. How difficult would you say it was to make this connection?
All of these privacy focussed phone OSes tread lightly on the fact that there are a grand total of zero modern open source basebands in existence.
VPNs hide the content of connections, at least from MITM / eavesdroppers, but server-side data scrapes are quite effective at figuring out who you are (or what your phone is ... see below). Nothing really does a good job of hiding the fact that you are connected to a VPN except TOR, and where that connection originates (e.g., your wifi network, which is well Geo-located, remember?). And de-anonymization of VPN connections to identify downstream connections are possible, IIRC. Details about your phone are well recorded (MAC, SID, etc)
And always remember, your phone can be implicated based on location data, which will implicate you once it's discovered you own the phone. And that's as simple as looking up the SIM purchase / use.