There is a way to implement this functionality in an interoperable way that complies with the DMA. Apple just chose not to. Not because it's impossible to implement it in a privacy-respecting way, it just wants to lock people into their ecosystem, the exact thing DMA is protecting users against.

Apple realized its standard malicious compliance playbook won't fly this time, so now they're trying to sway public opinion by not rolling out this feature in the EU. It won't work. They're just going to lose market share and will have to backtrack when they do. Tech regulation doing its job.