Now I think I know what is going on.

When you bring $$$ to Chase CPC, the banker can put your $$$ into any account type. If he thinks you have intention to have Chase manage the $$$, then it stays in "Full Service" account. If you stated clearly that you would never let Chase manage it, the banker can put the $$$ into JPM self-directed or YouInvest accounts. For the "Full Service" account, the banker can set the fee to be 0%. They do not make much difference, just names.