Hi,
You have the wrong application.
In your situation, when both vlan 10 and 20 are mapped to vlan 1100, then how the switch understand which vlan should be the destination when the traffic comes back from the vlan 1100.
You need change your configuration. As you described, you can use the VLAN aggregation. Or you can configure only one vlan mapping(suppose map vlan 10 to vlan 1100), and set the default vlan of interface XG0/0/1 switch 1 to vlan 20, and set the default vlan of XG0/0/1 S5720-EI to vlan 1100.