Ajax forms work asynchronously using Javascript. So it is required, to load the script files for execution. Even though it's a small performance compromise, the execution happens without postback.
We need to understand the difference between the behaviours of both Html and Ajax forms.
Ajax:
Won't redirect the form, even you do a RedirectAction().
Will perform save, update and any modification operations asynchronously.
Html:
Will redirect the form.
Will perform operations both Synchronously and Asynchronously (With some extra code and care).
Demonstrated the differences with a POC in below link. Link