This worked to effectively reduce the potential market position (in businesses and for consumers) of alternate OSes to Windows.
Of course, that's not the only thing MS did. The full report of the anti-trust case was pretty interesting. There were many things MS did beyond just the browser. They favored OEMs who exclusively sold Windows-based computers with lower OEM pricing, but if they attempted to use another OS then they were threatened with increased licensing costs (this was a large part of what killed BeOS's momentum).
While many people remember and focus on the browser, it was only one piece of the whole case. To draw a comparison, you'd need to demonstrate that Apple's Safari-only (or really Safari + limited WebKit-only) policy is taking advantage of its substantial market share (currently iOS is sitting at something like 55-57% market share in the US, so it isn't actually that substantial a lead) to harm its competitors. And you'd have to place that in the context of other abuses of market share position.
Instead they need to go through the App Store, driving up development costs (the Swift learning and/or contractors) and decreasing potential competition.