Looks great: all objects, enemies that are following you and stuff gets teleported along with the player, thus you barely notice teleportation. BUT! When teleporting some of the light sources lose their dynamic lighting (bound to them, obviously, through GLDEFS).
There are 4 absolutely similar (!) light sources in the room, they are all positioned in the same sector (!) but certain of them (and only certain ones) lose their dynamic lighting, while others don't. I tried deleting and putting them there again or moving them away slightly -- no effect.
I thought it might have had something to do with height difference (it was different in these room-twins; I use Destination Spot Z, No Gravity), but I tried to temporary change the heights to be the same, but it was no use. I also checked if the light sources were stuck in the walls, but they weren't.
Here's the image so that you can understand it clearly (I hope):

So, you see, you go down the central stairs from the 3rd floor to the 2nd floor (they do not really overlap anywhere, so no teleporting here). The 1st floor is positioned below the 3rd floor, thus only the stairs from the 2nd floor to the 1st floor go under 3d-floor 3rd floor. You can see 'fake' stairs from 2nd to the 1st floor, when you cross the teleporting lines before them you and all other objects there get teleported to the 'fake' 2nd floor so that you can enter 'real' stairs to the 1st floor.
The 2nd floor hallways on the right and on the left both consist of 2 sectors which are joined between them, thus though there are 2 teleporting lines on each floor, each pair of lines belongs to the same sector. BUT! Here's the thing!
If I go through the teleporting line on the right (considering the image, on the right, i.e. eastern), the south-eastern and north-western lamps lose their lighting (it simply disappears, while the lamps are teleported OK). If I cross the western teleporting line, the south-eastern lamp loses dynamic lighting.
The south-western lamp never loses the lighting. However, both south lamps are in the same sector! Yet if I position any other kind of object with dynamic lighting near the south-eastern lamp, it will ALSO lose its dynamic lighting when teleported!
I should also point out that when I cross the teleporting lines back, the dynamic lights always show again. They are lost when teleported first time, but not when teleported back.
This drives me crazy. I even thought that maybe the problem is that dynamic lightings are positioned close to walls, that if I give them more space, they will teleport OK -- but I tried it and it's not so.
I would solve the problem by teleporting everything BUT lamps, unfortunately I can't do it: I use 0 tag for TeleportInSector (meaning 'teleport everything'), and giving +NOTELEPORT flag to lamps is ineffective: the TeleportInSector function still teleports them.