I would expect it to beat those. The F-35 is a whole generation better.
I'm not entirely sure exactly why the F-35 beat the other contenders, possibly because of its technological lead, but the other contenders' manufacturers pulled out all the stops, with Eurofighter consortium offering limited production in Switzerland and access to other weapon systems to sweeten the deal, I think Boeing did the same with the Super duper Hornet. I suspect the F-35 is a means by which Switzerland introduces greater integration with US and other European forces that operate the type; the Swiss have traditionally been outliers that kept their own defence agenda, but the interoperability and information sharing that comes with the F-35 could possibly signal a policy change for the Swiss?