I also raised a support request for this topic and got the following reply:
"Yes, you can customise the search results page, for that you need to create the search template page go to the Dashboard -> Pagelayer -> Theme Templates -> Add New here select the Template Type -> Archive, and give the name of the template page.
Give the Display Condition Action Type -> Include, Display On -> Archives, Template -> Search Results and click on Save Template button to save the changes and click on the Edit using Pagelayer link button to open and add the widget that you want to show on the search results page."