Is type 3 achalasia same as what is also called vigorous achalasia?

Yes: Although we do not use that term anymore. Now we just call it type III or sometimes spastic achalasia. Hope that helps.

Yes, they are: basically the same, but Vigorous Achalasia is based on an older classification system using diagnostic criteria from conventional manometry, while Type 3 is a newer classification system based on high resolution manometry criteria.