Understanding bitcoin’s party

I only use coingate and blockchain.info and to my understanding, coingate is a party that handles transactions (make order, send and receive bitcoin) while blockchain.info is a wallet to store bitcoin. I have a few questions below:

  1. Why can’t coingate be a wallet itself?

  2. In https://bitcoin.org/en/choose-your-wallet, why blockchain.info is not listed? Was it not updated?

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