Is a mortgage on a cash buy still a refi?

[Bob Foglia]

Relative newbie question here... I know if I wanted to refi my current mortgage (I don't it's 2.99%!), to pull cash out, that's obviously a cash-out refi... 

Is it considered the same if I were to buy a house for cash, and then wanted to get a 50 to 60% mortgage? It's not a refi, but it would be a cash-out transaction. Would that fall under the cash-out refi category? Or would it be considered a conventional first mortgage? And for clarification, it would be a primary residence, not an investment property.

[Robin Simon]

Quote from @Greg Scott:

If done within 6 months, that is known as delayed financing, and it typically has the same terms as if you bought with a mortgage up-front.

If you wait 6 months, you can do a true cash-out refi and theoretically pull out more than you put in.

 This will be considered a cash-out refinance except a small few lenders will have a "delayed financing" option which would be treated as an acquisition