here I would like to disagree with you when it comes to engineered wood flooring. For engineered wood flooring, the wear layer is 2.5 to 5.5mm depending on quality. The average is 3.5mm, which at most, depending on condition, can/should be sanded twice. To be safe, I would claim only once sandable. Such a machine removes quite a bit.
I would recommend a 2-layer parquet with a wear layer of 5.5mm, which, due to its construction, must be glued down. This type of parquet has the significant advantage of being more dimensionally stable regarding swelling/shrinkage behavior compared to solid wood planks. As for transition profiles, there are various variations.