I didn’t reverse the institutions, and nothing I wrote suggests I did.
I don’t think GWU is going to be motivated by UConn’s net COA, because it is generally true (nothing we talk about on CC is black and white) that private colleges aren’t motivated to match public college prices.
I encourage OP to contact GWU admissions and present their case, it’s up to them whether they want to use UConn’s net COA as a basis for ‘negotiating’, but they 100% should have a target price in mind, one that would result in OP’s student committing to GWU.