I think there may be an implicit (and false) assumption in your choices, which is that it is significantly faster to walk from an Epcot resort to the International Gateway than it is to walk from the front of Epcot to the World Showcase
If you take a taxi or Disney transport to the front gate of Epcot, your walk to WS through Future World will not be hugely longer than from an Epcot resort, especially when you count that you have to go *through* the resort to get to the path around the lagoon.
IMO, going through the IG via an Epcot resort (once you have arrived at your start point) instead of from the front of Epcot yields a significantly different experience in terms of the amount of walking only in the following situations:
- You plan to take the boat to the IG to cut down on walking
- You have a car and are driving, *and* you know you will be parked far enough back in Epcot parking lot to necessitate a tram (even here it's marginal)
- You are going to an ADR at an Epcot resort and plan to visit the World Showcase afterwards
- You are going to an ADR on the resort side of the World Showcase and don't plan to visit any other parts of the World Showcase