If you are amending anyhow, yes, correct the unemployment.   I'm sure IRS has been bombarded with amended returns for the unemployment.  And I don't think it's written in stone that IRS is going to do the adjustments.   Personally, I think they are just stalling us until after they implement the CTC advance payment system. 

 As a side note,  I'm curious as to why the client couldn't claim their child initially but now they can.  🤔