Road King Vs Sportster Transmission Pulley

Does anyone know if the transmission pulley off of an 06 road king (32T) or other big twins will fit an 06 Sportster? Thanks in advance.

I believe the big twin sprocket is wider because they have a wider belt, other than that I believe they are the same(spline diameter, lock ring holes)

Thank you.

the belt guide on the sporty pulley is on the inside of the pulley to stop it running into the mtr whereas the big block pulley guide is on the outside to stop it running into the primary so its a no go.

Thank you.