I found a glitch similar to the reset glitch, it may be called "menu glitch".

The vertical speed of the player is conserved when pressed "menu" from one level to another. You obtain the same result by resetting, although in this case you cannot change level.

Here's proof in level 13. This allows the level to be completed faster.

Should this be allowed to achieve better times in IL? I guess not but a new rule is required in this case (I hope yes actually, I like exploits and glitches).

You should understand that this can be done easily without intention and many individual level runs can be affected with this. In the example, a big starting jump that should be impossible is achieved, and it is "clear" that it comes from the menu glitch, but other cases may be ambiguous.

Here's another example of good utilization of this glitch. in which a very small initial jump (impossible to achieve otherwise) is utilized to complete this infamous level incredibly faster.

Yes, it is allowed to be used. Note that you don't have to restart the level from the level select, pressing R or dying is also allowed. This glitch happens quite often during the normal play, so using it during Glitchless runs is also acceptable.

That's great, I can submit that crazy L16 time then ;) Thank you.

That's the same thing I did here, just through a reset instead of the menu:

yes, I think they are the same. Remember that if you use the menu glitch, you can change level, and so you can achieve a setup that otherwise is impossible with a reset.