NO ... the standard deduction has nothing to do with the unemployment EXCLUSION which is reported on the Sch 1 line 8. 

Q.  Does TurboTax (TT)) automatically include the $10,200 deduction?

A.  Yes.  Look at Schedule 1, line 8, to verify that happened.

That answer assumes  you prepared your taxes, in TT, after the program was updated (about 2 months ago).