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Yes absolutely that's an option, and I was not necessarily advocating for the solution I laid out earlier. There is nothing wrong with what you suggested, it's what I do sometimes. However...
Basically, it comes down to the fact that Google apps (and other apps too if they want) can fingerprint you in many different ways. If you have a Google apps on your phone, they may well be able to tell they are on the same device even if they are on a different profile.
Off the top of my head there are things like battery percentage, your public IP which VPNs can help with when in different profiles but your local IP address and DNS server if I remember correctly may be seen in certain situations. There are DRMs like widevine ID, though I know GrapheneOS has just released something to improve that! There is your phone state, which sim network you are on (again can't remember of the top of my head if this is still the case and which permissions are required for it). I'm sure I'll think of more ways they can fingerprint you after I get some sleep. There are also lots of things that GOS already helps protect against like profiling through contacts/storage.
Anyway there is still fingerprinting via location. Eg. If different apps use your location at different times while you are at home or work, if this data is sent/sold to/by Google, or if Google has your home/work address in some form or another from a data broker who sold it to them when you bought something and used your address, or if your address was in a data leak from when you applied for a loan, etc etc, (just random examples but you get the point), then even if you do as you say and use a profile with only GMaps, no Gservices and no sign in, and use it to get to and from work for example, it will be obvious after a while where your home and work addresses are and that could be linked to you as well.
Basically Google are masters at tracking/fingerprinting. Depending on how many apps you have and with different analytics baked in, Google may well still know who you are (or just have profile that links your activity in different apps and profiles that you think are separate) even if you do just use GMaps in a profile without GSF and without login to Google.
The method I just came up with earlier, would not even necessarily help at all with the fingerprinting issue. Google may well still know who you are, or at least have an identifier that links you across profiles.
All it does help with is, at least in theory, is to give somebody a way to use Google maps and not give them a whole load of data of where exactly you have been when you next download their offline maps. You still have to connect to download the maps but it removes the location history. Again, in theory.
Also again, I wasn't necessarily advocating for that method at all, using another map app that is open source would be the best in an ideal world. It was just a thought experiment.
Talking of all this, however, I feel I need to mention that thanks to GrapheneOS, we can even have the hope of any privacy from entities like Google and Apple. They have made huge improvements to make fingerprinting harder. The compatibility layer gives Google Services/apps only as much access as any other app instead of basically access to everything, the sensors toggle, the network toggle, the GrapheneOS server options for: connectivity checks, attestation key provisioning and now for widevine provisioning! Also the SUPL and PSDS proxies for location services. All of these are usually Google servers, so even if you used a 3rd party map app you'd still be using Google. And if you use Android Auto on a non GrapheneOS phone, your car manufacturer gets access to all sorts of incredibly privacy invasive stuff and presumably sells it to data brokers as well. Now GOS have just released Android Auto support, in a privacy respecting form, and it's already a massive boost in privacy for people who want to use that, and will only improve over time.
So It's basically only possible to have meaningful conversations about privacy thanks to this OS, without it, its just privacy theatre.
So yea thanks to the GrapheneOS team as always :D
Sorry for the long reply, I don't know if I managed to explain things too well but that's my understanding of things anyway.