I pretty much had the same opinion as you, why would you need particular experience, as long as you are within the numbers in your AFM?
But I changed my mind after landing in Elba on a ten tonnes jet. Yes, you are within legality, at least on a private operation, but you realize soon how close you are to the actual plane limits once you land. One foot too high, one knot too fast or any hint of flare and you are not in a nice position anymore.
Good thing is that thrust reverser are not accounted in AFM landing figures,so there you have a little margin, but still quite a different game, if you are used to the typical 10000 ft runway.