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If the tube had the correct curvature and was moving/rotating in the same direction and speed as the source the water droplets would travel through the curved tube.

Except for the curvature caused by gravity, your curved tube wouldn't work, except to force the water into a curve. Each water droplet is traveling in a straight line. This is simple Newtonian physics, f=ma. What is your force that curves the water?

However, using the water source for a frame of reference, the droplets do curve.

No, they appear to curve.

If the tube had the correct curvature and was moving/rotating in the same direction and speed as the source the water droplets would travel through the curved tube.
Except for the curvature caused by gravity, your curved tube wouldn't work, except to force the water into a curve. Each water droplet is traveling in a straight line. This is simple Newtonian physics, f=ma. What is your force that curves the water?

First you say "Except for the curvature caused by gravity," and then in the very next breath you say "Each water droplet is traveling in a straight line."
Make up your mind already!
My original statement did not cover gravity for simplicity.
I rather think that your interjecting gravity into the equation is simply a strawman.

However, using the water source for a frame of reference, the droplets do curve.
No, they appear to curve.

Somebody doesn't seem to know what a frame of reference is!