Generally I agree, but since the OP is finishing at AK, I understand their logic.
I still think they can accomplish what they want at Epcot, with some waits, if they commit to being at park 45 minutes to an hour before opening to ensure they are at the front of the rope drop pack.
Again - OP doesn't say how long their trip is so hard to evaluate a single day out of context for what they want to do for a trip. But yes - if I were doing an EP/AK day, I'd definitely use my FP at AK. Would rope drop rides until about 11am and then head to FW to do countries. I'd most likely plan another evening in Epcot during the trip to try to 4th FP anything in FW I didn't get to hit.