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I don't use FTP, nor do I allow it on my network. SSH or no go.

OP is asking about FTP client not protocol. Clients are compatible with many protocols. Is sftp a go for you?

I'd call an SFTP client or SCP client an SFTP client or SCP client.

What would you call a client that supports FTP and SFTP?

An SCP and SFTP client.

Fighting the good fight.