I guess there is no need to introduce what a Degoogled phone is (or a custom ROM without google services, like GrapheneOS is) and the Aurora Store is basically said in a crude way the Google Playstore but without the need to log in to your Google account, quite useful in my opinion.
At first, what really concerns me is to run the risk of violating Google’s TOS by logging in with my Google account on the Aurora Store to access my purchased apps, but at the same time I think, since Android is Google’s operating system, can’t they also retaliate against people using a modified version of their OS? And I know that sounds especially stupid when your phone is your phone and not Google’s, but we all know how companies like Google work.
I don’t use Google services on my device, but I do use it as a secondary email that I don’t want to lose, hence the question, I know I can create another email but I don’t want to have so many email accounts.
Nobody will be able to give you a definitive answer. Google’s ways are unknowable. You are running the risk of losing your Google account by having a Google account.