Do you know that you can create a Meta account with a one-time email address, fake name, and no connection to any other Meta service but the Quest platform? That may still be more connection to Meta than you prefer, but to many "Meta integration" implies an automatic linkage to Facebook or Instagram.
They only recommend your real name in case you need to recover your account.
From https://www.meta.com/help/quest/articles/accounts/account-se...:
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To create a Meta account using your email address, you will need to provide:
Email: You can only create one Meta account per email address.
First and last name: We recommend using your real name in case you need to recover your account or manage your store purchases.
Birthday: You need to be at least 13 years old (or the applicable age in your region) to set up and manage your own Meta account. If you are between 10 and 12 (or the applicable age in your region), then you need a Meta account that’s managed by a parent or guardian.
Password: This must be at least 8 characters. Avoid passwords that someone could easily guess.