Does this Tenser's Carnival Attraction gimmick work?

Question

Prior questions have established that the 5th Edition iteration of Tenser's Floating Disc can move around obstacles, but will not move (or even exert horizontal force) when it does not have a legal path to a position within 20 feet of the caster. Therefore:

Suppose an enterprising wizard were to commission the construction of a structure on an empty field. The structure consists of a spiraling ten-foot-tall wooden wall or fence, with an outer radius of 100 feet, an inner radius of 20 feet, and a distance between each loop of 5 feet, thus creating a spiral corridor 5 feet wide and about 6000 feet long. A gate is placed at the outside opening of the spiral, and ladders and bridge over the structure allow the wizard to climb up and over the spiral to easily move from the outside to the inside.

The wizard, who has no sense of right and wrong and therefore has not tested the following procedure at all, then offers any curious onlookers an exciting experience for a modest fee. The wizard casts Tenser's Floating Disk while outside the spiral and has the attendee seat themselves upon it. The wizard then climbs the ladder and traverses the bridge until they are in the center of the spiral structure. Then they signal to an assistant stationed outside the spiral wall, who opens the gate. At this point, the floating disk has a path to a space within 20 feet of the wizard which does not violate any of its movement constraints.

Does the disk move along the spiral path, and if so, how quickly?

Answer 1

Unfortunately, the only thing that can be said based on RAW is that it will move once the gate is opened and end up at the inside of the spiral.

It isn't explicit, but it's heavily implied that it should travel the full path. If it didn't have to, obstacles wouldn't be a problem.

The biggest contention is the speed. The spell description does not list a speed. No ruling can be made on how fast it travels unless Wizards comes out with an errata. Previous editions had speeds listed, so the exclusion had to have been deliberate. The lack of correction, with at least two erratum published, seems to contradict the idea that it was an oversight or accident. Ultimately, this is going to have to come down to DM fiat.

Answer 2

If I carefully craft a contraption that allows a spell to exhibit a behavior according to the RAW (Rules As Written) it will exhibit that behavior.

The unspecified details of how it exhibits that behavior are something you learn when you cast it. You try it and see. If you're lucky it behaves the same way every time you cast it. It might not. This isn't science, it's magic.

Whole adventures could be centered around penetrating the mysteries of such behavior. It may turn out that your particular copy of the spell actually achieves this effect by summoning a demon that occupies the astral plane while packing your stuff. It maybe that you're really bound to the disk with an astral tether that you had put under tension when you pulled away. It may be that the disk violently vibrates as it tries to find a path to you and bangs into things. And these may be different every time you cast it.

In short, try it and see. It may be that your DM has no sense of right and wrong either.

Answer 3

The disk moves along the path to the center. The speed at which the disk moves is undefined, but presumably at least sufficient to keep up with your average wizards ambling around at average wizard pace (since this seems to be the intent of the spell's moving at all), and possibly infinite. How fast the disk moves in your particular game and why it moves that fast is a matter of setting. As you note in comments, a fence really is sufficient-- the disk can't ascend or descend more than 10'.

This is a reasonable carnival attraction.