Hello Filip,
Would it be sufficient for your needs, if the orthomosaic is exported to TIFF format is a way similar to Paul's example with World file, when facade orthomosaic bottom corners have real geographic XY coordinates assigned and the orthomosaic itself if put from vertical plane to horizontal (geographic XY)?
Yes, we are getting very close to what is needed.

And sorry, Pauls pictures are so wide I did not see the right part last time. Thas why I did not understand.
To be clear, let's repeat my goal once again. (Firstly without mixing Metashape to it.) I have a referenced 3D model of a house. Coordinates XY are in horizontal plane, Z is in vertical plane. I want to make orthomosaic e.g. of every side of the house. I need the exiting Z axis of the 3D model (even absolute values - heigth above sea) to be preserved in all orthophotos. I do not care so much about XY (geographic). Let's say I need to look to the fasade like I would be exactly paralel to the model Z axis. What if a house is little bit oblique? I don't care. I need to stick to absolute heigths so I need always the same angle looking to different fasades. Because at the end, I want e.g. the top spot of the house to be in the same heiht on all orthophotos. It is a very common goedetic requirement, I think.
Even playing with Markers, I mention some significant differences (many centimeters) between rooftops which should be the same on all my fasades. Not sure why. If there were a little difference in planar angle or it is an inaccuracy when Metashape generates mosaics. I tried jgw world file and it did no preserve original heights from the model. I did not try tiff and corresponding world file recently. I manually moved positions of orthomosaics in CAD in order to corresponds to absolute model heights.
So with this phillosophy, the three markers has to be in the same plane but not exactly on the side of the building. Only two horizontal markers have to be on the fasade but the third has to be straight above the first two but not neccessarily on the fasade if it is not absolutely vertical.