Yes Michael, that's the basic differences... but if someone offered to 'wash up' after dinner, it wouldn't confuse me.

I tend to think of 'crockery' as fired stoneware. The only things called 'crocks' in our house are large jars that might be used for mixing or storing.
But, I automatically assumed that the song "Crockery Ware" sung by Nic Jones, Jean Redpath and others included 'general breakable items of tableware'.