First of, I know that absolute anonymity is impossible, it can be harder to identify who you are but not impossible, so for anonymity for this question we can assume all protection that is given in that sense from something like Tor browser for Windows and Tor network for example.
Similar software exists for phone devices and sure they can make you anonymous the same way that in Windows, but I see a problem there:
Ad far as I know, if you use data connection on a mobile phone you need to be connected to the same network that allows to use phone calls (most usual one I guess would be 4G nowadays), and, as far as I know you are always identified via whatever is used for you being able to make phone calls or receive them. (Your phone number needs to be related to some info in the network in order to do that).
And as far as I know there’s no way something like that can be anonymized in any way.
So software like that for a phone device would likely only help in making you anonymized just to destination machines, it will be always clear which is the device being used as it would clearly be reflected.
But on the other hand only that anonymization seems poor for a software like that so maybe I’m missing something.
So, does using data connection from mobile phone offer at least the equivalent anonymity using what has been mentioned?