I'm down with 'no news organization goes to this lunch'. It seems like more of the silly, aristocrat-lite traditions that can go the way of the dodo now that there's a dearth of other options for news dissemination to the American people.
CNN complaining about it, however, has been entertaining. Like...There's a point buried beneath it of how press should be broadly and equally treated, and excluding one and not others is...very Trump-y and jerkish--and there's elements of hypocrisy, because Fox News getting shit from the last administration invited complaints in the same vein. But complaining over not getting invited to burgers by the President so he can tell you what he's going to be saying in a speech just seems so petty.
American broadcast news media is universally garbage. Fox News, MSNBC, CNN, ABC...I can think of none who are very deserving of praise for journalism. Which, sadly, somewhat undercuts the above 'but journalism is important' defense.