[Affects Live Content] The Return of Phantom Redstone? (and other relog issues)

Tested in 798227 but I can confirm it happens in 1.2.11 and possibly earlier.

Summary:
Upon exiting a world and coming back, a lot of strange behavior occurs. In my observations, this includes but is not limited to:

• Not saving the player's location and pulling them back to a much earlier point in the map (despite other things having been saved)
• Restarting redstone (return of phantom redstone?)
• Redstone giving false positives (redstone and components)
• Entities duplicating although this might just be a result of the repeated redstone.

While I'm only able to get these behaviors to happen sometimes, in testing our map, Moesh says he got 100% reproduction rate of returning to a previous point on every relog.* The strange thing is it was always the same two points.* Even though those two points were extremely far away from where he logged off.

Impact:
Tremendous impact. This means that in order to have stable content, all content must be played in one session. If a player relogs and is put farther back in the map, there is no way to recover without a developer intervening. If a player relogs and redstone runs twice, it can also break the map. Every single adventure map uses redstone in some way.

Repro Steps:
I can't tell you exactly but I've attached some video content that reproduces certain behaviors (I was unable to get the player location part on video).

Expected Results:
Everything should be just as you left it when you return to the world.

Video: https://www.youtube.com/watch?v=pRuqhaMJu3s

Notes:
World is in slack for testing (or on the submission email). Video recorded in world version 1.0.1 re-exported in the 1.2.13 build.
Moesh has 100% repro rate with the warping issue.