protonuser2 What do you mean by "concerned"? It sounds like you're trying to acheive anonymity, which you can't because you're shipping it to your residence and i'm going to assume you're purchasing it with your credit card (which is also in your real name). Also, you must understand that using a VPN doesn't really make you totally anonymous. All you're doing is trusting the VPN provider instead of your ISP. Proton states that they don't log so you should be fine there, although i'm sure they can if they need to to avoid abuse. But know that proton can see your real IP address, so unless your home network is setup and funded anonymously, your proton account was setup and funded anonymously, proton can figure out who you are.
If you're just trying to reduce identifiers through your purchase, then yes anything helps. If you're trying to purchase a phone anonymously, you can't via the way you're doing it.
I don't know where you're located, but if you want to purchase a phone anonymously then go in person to a best buy and buy one in cash.