Therefore the first stop from the Poly is MK, then CR, TTC and then GF.
From the Polynesian, the sequence is Polynesian, GF,MK,CR,TTC,Polynesian.
So, to answer the OP questio, yes it makes sense to walk to the TTC to get to Epcot. This cuts out going all the way around the lake using the Resort Monorail to get to the TTC.
It also makes sense to walk to the TTC if your longhouse is close to it, to get to MK. You would take the Express monorail and it will be a nonstop ride. EXCEPT FOR EMH. Since EMH is only for resort guests, the express monrail will not be running at that time. So you would have to get on the resort monorail, and your first stop would be the Polynesian.
Getting on at the Polynesian, you would have to stop at GF first before MK.
BTW, there is also boat service between the Polynesian and MK, and GF. The boat stops at the GF first before going to the Polynesian.
Ed