Yes follow the tips here, and the swap out should be fairly easy since most of the points are already soldered to the board. BIOS has full compatibility, but you may have to redo the D and E points on the DMS chip as sircoarz81 says they need to be flat and do not cross those wires with any other wires on the board.
You will have to add a few points on the DVD controller, but with flux paste or pen, it will be easy.
The Yellow PS2 auto-boots all. PS2, PS1 stealth and DVD movies.