How to clone a structure between dimensions?

What i could see from the wiki the /clone command cannot send structures from one dimension to another.

Theoretically you could scan through all the blocks in the structure. and send the scan results in falling sand blocks to the other dimension (just make sure to place a block they can fall on) but this is far from instant and i'd use structure blocks.

You can save the structure to minecraft:autoclone (can be any namespace)

/setblock ~ ~ ~ minecraft:structure_block{mode:"SAVE",posY:1,name:"minecraft:autoclone",sizeY:10,sizeX:10,sizeZ:10,author:"<yourname>",showboundingbox:1b} destroy

and load it from there with almost the same command just switch it to "LOAD" mode

/setblock ~ ~ ~ minecraft:structure_block{mode:"LOAD",posY:1,name:"minecraft:autoclone",sizeY:10,sizeX:10,sizeZ:10,author:"<yourname>",showboundingbox:1b} destroy

and after each step you need to set a redstone block next to it the redstone block needs to be set twice for the structure to actually load

/setblock ~ ~ ~1 minecraft:redstone_block destroy

now just run these with the execute command in the dimension you need

/execute in minecraft:overworld run (setblock ..."SAVE"...)
/execute in minecraft:the_nether run (setblock ..."LOAD"...)

if the area isn't loaded you can use /forceload ~ ~ to force a chunk's loading

proof of concept
commands used in the video can be found from the video description