No, the search results page of your website should not be indexed by Google and other search engines in most cases. The wisdom of search-engine-optimization has long said that the results page of your website should be blocked by search engine bots and not included in the search engine rankings. The reason is not to disappoint Google users and otherwise prevent search engines from wasting their time downloading and analyzing pages that are supposed to not help your visitors or your business.
User Experience Search engines want to provide a good search experience for their users. That’s why Google, Bing, and DuckDuckGo, for example, spend a lot of time looking for accurate results. Unfortunately, the search results page of your website may not be a good and relevant result. Here is an example. Imagine someone goes to Google and writes "what are the best running shoes for heavy runners."
One of the results displayed is one of the internal search results on your site. But the indexed and linked page is a list of results for the whatsapp phone number list search term “running shoes for men”. This internal search results page also has a section promoting one of your company’s blog posts. This blog post is about heavyweight runners and is indexed.