"8051 binary files contain raw code memory data, not sorted in a record like the HEX-files."

Not sure what you mean by "sorted" there?

A binary file must contain precisely 1 byte for each memory data byte, in the correct memory address order

Intel Hex (and Motorola S-Record) files do not have to have a value for each byte, and do not have to have the data in order (the file format includes the addresses at which the values are to be located)

You can find several posts here where people have come to grief due to the unwarranted assumption that the data in a hex file is in order!