There's a syncthing wrapper for iOS (Möbius Sync), which is free up to 20 MB of synced files. The unlimited version only costs $5 once, so might be worth it.
Otherwise I'm sure there's ways to set a network fileshare on your PC, that you can access from your iPad (if you only need it in LAN).
Every long oner has hidden cuts. These range from really simple, like something moving across the foreground to hide a wipe, to really difficult (expensive) like fully CG doubles to merge shots (probably too expensive for this TV show).
I would suspect that at least 80% of the time, when something (or more often someone) moves accross the whole frame in front of everything else, its obscuring a wipe to the next shot.