Why are Doubleclick cookies appearing on one browser and not another, for the same site?
There can be many reasons for the difference in the trackers. But the top reason is that Safari blocks them. Chrome is a browser I wouldn't prefer if I want privacy , because chrome is owned by Google and Google earns by selling trackers. Obviously chrome wouldn't block them. You can get a report of all the blocked trackers on safari by clicking the 'Privacy Report' on the home page of safari.
Safari blocked all these trackers on that site of yours-
A more detailed explanation can be found here - https://support.apple.com/en-hk/guide/safari/sfri11471/mac.