None at-all.
I posted the exact same topic on bikeradar road section the other day and the general opinion is, if you've got SPD's on other bikes stick with them.
It also means you can walk around easily and not wear out expensive road cleats by walking on them.
Have you considered single sided SPD's like the Shimano A520's, bigger area to give you some support under the shoe, and kinda look like proper road pedals.
Wellgo also do the RC-715's which are about £40, and the RC-713's at about £32, the latter is slightly heavier and chunkier – also available in Decathalon as one of their b-Twin pedals for £20 😀 All are single sides SPD's BTW