The order doesn't mandate that. It mandates google SELL the data it has collected on people to third parties.
There are also privacy focussed, ad blocking focussed alternatives trivially available on the market....and people are not choosing them.
Any company which buys Chrome (Microsoft?) will have just as strong an incentive as Google to track people and run ads.
FWIW, Chrome has a 66% market share: https://gs.statcounter.com/browser-market-share
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Disliking a company doesn't justify any arbitrary policy against that company