There is a direct bus from Blizzard Beach to Epcot (it is actually an intermediate stop on the Coronado Springs to Epcot bus) so I would think that there is also a direct bus from TL to Epcot.
No direct buses from Downtown Disney or Typhoon Lagoon to theme parks.
Too many people parking for free at Downtown Disney to go to theme parks and taking spaces that DD guests need.
Is Blizzard Beach more liked than Typhoon Lagoon? I read several reports about day guests being turned away from BB when it and its lot were not all that crowded, and told to go to TL which was more crowded although not closed to capacity yet.
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