Dozier's floor is Gyorko, in my opinion, but Dozier also has a higher ceiling. Also a history of being a much better defender.
Gyorko could go off and hit 30 homers again this year, but he's never going to be a guy who can get on base. I see a Gyorko-like performance as Dozier's floor. The real question for whether Dozier does much more is if he can get on base. If he can keep that OBP up around .340, where it's been two of the last three seasons, he's a great addition. If not, he's not an improvement over what we already have.
In my mind, Wong should be between at least a 2.0 WAR player next season if given the opportunity to play almost every day. I see that as his floor. He was that last year if he had gotten 500 plate appearances.
Gyorko was 2.9 last year, and if you consider his defense was 1 WAR better than he's ever posted before, I question his ability to replicate that. So I think 2.0 WAR from him is optimistic, even if he beats out Peralta for the bulk of playing time at third. Wong is still the better option to play second everyday.
Dozier has yet to show any consistency. 3.7 WAR in '13, 5.2 WAR in '14, 2.4 WAR in '15, 6.2 WAR in '16. Both his offense and defense have been scattershot too. It makes it very hard to predict. But I think its fair to suggest that he could settle in as a 4 WAR player. Which would be an improvement over what I think the floor is for Wong. The question becomes, how much do you pay for that extra 1.5 to 2.0 WAR?
Is he worth a 2.0 WAR player and at least one top prospect? The trade market would suggest yes, but I'm not sure I buy it.