The 4.6L is not a sludge prone engine. It is basically a short stroke version of the 5.7L engine that has been out since 2007 and no reported issues of it being a sludger.
That being said, I have a 2010 4.6L Tundra also. With the 2/25K maintenance plan, the dealer is to follow what actually the engine came from the factory with in relation to oil. Some of the early 2010's had 5W-20 and later 0W-20. The easiest way to tell is to see what is printed on the oil cap for weight.
Now with the maintenance plan, if the factory fill was 5W-20, the dealership is suppose to change it at the first 5K mile maintenance interval and go to 0w-20, which is the preferred weight now (note; 5W-20 still can be used). If the factory fill was 0W-20, then the first change out is not suppose to happen until the 10K service.
The problem is you actually have to educate the service advior to properly write up what needs to be changed at that interval, as they tend to screw up the sequence for your successive use of the 2/25K maintenance plane. I have used mine twice and coming up on the third use at 15K miles. By right, they can skip changing my oil at 15K since they put in 0W-20 at 10K mile service.
My dealer has been pretty good about proper quantity and type, but that is because I have stayed on top of them. If you are having issues with thick and abnormally dirty oil, then I am inclined to thing your dealer is not following the service plan correctly. FWIW, when they write up the 2/25K maintenance plan service, the dealership actually bills it to a third party for them to be reimbursed. So the dealer is not out anything and should not be substituting cheap oil for any reason.