Nobody can know for sure, but I will tell you about our experience the week after Easter.
We got to Epcot very early - early enough to be the first people through our turnstile once they opened the park. We walked briskly to TT, following another family very closely. We pretty much went right into the design room and then got right into our car. We were so excited, and said, "The line can't be that bad - let's walk on again right now!"
And then we got outside and saw the line. It went all the way up right next to the Innoventions building!! No joke! We couldn't believe it! Needless to say, we counted our blessings and went on our merry way.
Now, there could have been a million reasons for a line that long. It was Easter week after all, although all week we kept saying how the crowds didn't feel bad at all.
Maybe the line inside the TT building wasn't "snaking" yet? I don't know. All I know is that it was CRAY CRAY! Lol!
Good luck!