I’ll dig up the info on the incentive payments or retract it.
An "incentive" program is not necessarily a pay off or bribe. That sort of thing is fairly common in business, including at the retail end e.g., a store offering a discount for buying two items instead of one.
However apple still does not control a majority of the cell phone market.
Like it was with Microsoft, it's about the control of their respective OS market. Apple has dominant control of the mobile OS market, at least in some regions, which gives them dominant control of how apps can be marketed/sold there. Not allowing alternative app stores and/or charging excess fees (if that is determined to be the case) can be viewed as being anticompetitive and exploiting its market dominance.
I think we're just going to keep going around in circles on this so there's probably not much more to discuss. You and Nuno Lopes seem to be debating the same thing anyway.