Does the player's advantage at a particular true count change as he plays deeper into the shoe?

For instance, let's say 6 deck H17, 5/6 penetration.

In the first deck dealt, let's say the player has about a 0.61% advantage against the house at a true count of 2.

A little later, he's in the third deck of the shoe and again has a true count of 2. Is his advantage still the same 0.61% or is that advantage % deck dependent?