A lot of conventional mowers create an updraft when working so not only do they cut the lawn but they suck up leaves etc. into the path of the blades. Robot mowers do not do this so, although they will cut leaves, which are grass height, they will not clear your lawn of leaves. On the plus side, your robot mower will keep the grass short all the time so the leaves should not get caught up in the grass and will hopefully blow away.
The exception to this is the Mammotion Yuka, with optional collector. It remains unclear how effective this new robot lawn mower technology is, time will tell, however we sell these robots should you wish to try it for yourself.