These numbers also include UK (I think), a traditionally strong market for Apple, but which should be out of EU Single Market by the end of the year.
IANAL, but I don't think that's enough for Epic to have a case in the EU. On the other hand I could see the EU being more likely than the US to regulate these kind of stores, to try to protect European editors against Apple/Google. But the lobbying would have to come from European editors, not from Epic.
[1] https://9to5mac.com/2019/08/12/iphone-market-share-in-europe...
[2] https://macdailynews.com/2020/01/29/iphone-takes-24-3-smartp...
What might lead one to think it hasn't already attracted the interest of regulators outside the US? These battles are fought globally.
> The European Commission has opened formal antitrust investigations to assess whether Apple's rules for app developers on the distribution of apps via the App Store violate EU competition rules. The investigations concern in particular the mandatory use of Apple's own proprietary in-app purchase system and restrictions on the ability of developers to inform iPhone and iPad users of alternative cheaper purchasing possibilities outside of apps.
https://ec.europa.eu/commission/presscorner/detail/en/ip_20_...
As one might imagine the full history is a bottomless pit of claim, counterclaim, strong-arm tactics, PR, subversion, argument, opinion etc where the truth goes to die.