Technically, your BTC wallet still exists, but you can no longer control it without either its private key itself or the holder of its private key. Anyway, still keeping the welcome e-mail for joining a website (custodial cryptocurrency wallet provider) is so uncommon these days.
Faucets are not wallets by themselves, so unless your funds from your custodial wallets that you earned from faucets are taken away, your cryptocurrency did not "disappear".
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