User19091
3x thoughts:
1 - a related thread:
https://discuss.grapheneos.org/d/7748-urgent-questions-about-leaking-my-use-of-grapheneos-to-carrier-with-kyc
2- It might depend on your carrier.
For example, if your carrier requires installing an app:
Apps can detect that they're being run on GrapheneOS via the privacy and security features placing further restrictions on them and hardening them against further exploitation.
https://grapheneos.org/faq#non-hardware-identifiers
3 - An anecdote from my experience:
Anecdotally, I can share that a US carrier could tell that something was "off" with my GOS Pixel phone just by inserting a SIM card and activating service on their website (which required a disabled VPN).
In the online portal of my carrier account, there was a page listing devices that share the plan. The devices were displayed in a list including the model number, a thumbnail image of the phone, phone #, and some other metadata, My GOS Pixel phone was the only one conspicuously on the list lacking a thumbnail and some other fields, compared to the other iphones and stock androids (including a stock Pixel) on the plan which did have thumbnails and more metadata reported.
It wasn't a problem for getting service with that carrier, but I think it was a problem for me ~ 1 year later when trying to transfer my phone # to a new account with the same carrier.
I ended up spending ~ 6 hours on the phone with various support people who didn't understand why there were mysterious backend issues with transferring my phone # to a new account. I never told them it was a GOS phone, and they never identified an alternate OS (let alone GOS specifically) as being present, or being the problem. They could never identify a plausible explanation at all, in fact.
I finally resolved the issue at a retail location where they begrudgingly gave me a fresh SIM card, then transferred my phone # and account to the new SIM, and it cleared up the issue.
All that is to say, I suspect it's not hard for a carrier to tell that something is unusual about a GOS phone while using their SIM or eSIM.
Whether or not that level of unusualness is known by the carrier to be specifically GOS, or even specifically an alternate OS, probably depends on their level of sophistication.
In my anecdotal case, the typical customer portal tools and customer support employees were not able to identify my phone as having an alternate OS or GOS, but my device did stick out as unusual in fingerprinting and backend technical ways.
Hope this helps. Would love to learn more about this as well.