Lets say your purchase a website called www.cats.com or rank a new website called www.cats.com which is #1 on Google for cats due to backlinks with anchor texts.
Then you delete the whole www.cats.com website and 301 it to www.dogs.com
Question - Will www.cats.com still be #1 on Google due to backlinks even though it is redirecting to www.dogs.com?
Will www.dogs.com replace the #1 spot instead of www.cats.com because www.cats.com got transfered therefore the backlinks and anchor texts got transfered?