No. They are being punished for unfairly limiting competitiveness with repeated monopolistic practices affecting the browser/search markets relation.
And no - some people didn't willingly and consciously switched to their search engine. It was pushed down their throats by browser vendors being paid-off by Google for setting it as the default one. Mozilla has overwritten user-changed search engine setting in Firefox with several updates.
Non tech-savvy users simply accept changes made in software they use.
"Engines like Bing" is an ambiguous term. There are better options than Bing.