Includes the tweet as well as confirmation they that the commission did talk to Apple on Thursday
If any official action was taken it would have to be documented with a case: https://digital-markets-act-cases.ec.europa.eu/search
You don’t want an official investigation, they are a complete nightmare that eat up months of work hours. Much better to spend a couple of days making sure you can give the correct answers on the first pass. Unless of course you genuinely believe the regulators are pushing beyond their remit, but know you’re voluntary signing up for an expensive and protracted fight.
The EU has an long tradition of "conversations" and "questions" with an unstated "give the right answer and you can avoid an unpleasant official action".
You're right there is no official casework. That is also entirely irrelevant to the issue of whether or not Apple caved under pressure.
You are thinking of the mob. Thankfully here in the US official actions are generally done in view of the public.
The “probe” here would be, at least in the first instance, usually mostly letters asking questions. Note that it is “reportedly”; the media didn’t find this out because the DOJ had a banner on its website saying “we are investigating an alleged glass house”. That comes later, if things are not resolved.
(In some cases this is itself somewhat formalised.)