Utilize Forge capabilities to allow time control of more dimensions than the Overworld.

Only non-derived dimensions will be compatible as derived dimensions base their time of day on the Overworld.

Galacticraft is a mod worth looking into adding compatibility for when it comes out for 1.16.5.

I have yet to find a single custom dimension that is not derived from the Overworld.

Good Night's Sleep appears to be non-derived, but it actually uses the game-time as the basis for its skybox calculation, while its day-time is still derived from the Overworld. While it would not work in a standard way, a compatibility plugin may be worth creating in the future.

Is it expected to you that sleeping in alternate dimensions does not work to speed up time? I've done some research on the topic, and it's difficult to find a mod that works to skip night while sleeping in other dimensions. I kinda expect this mod to work since it should be progressing the overworld time. Unfortunately players sleeping in other dimensions are ignored.

When querying hourglass options in the other dimensions, it just says, "Hourglass does not control this dimension".

Minecraft 1.20.1
Forge 47.3.22

I comment here because it's related, but I will make another issue if you wish.