A long link and a short link can point at the same page. They are not the same thing to the person who has to use them.
When the long address is better
The long address shows the site name and often the path. A reader can see example.com/pricing and decide before they do anything. That is the better choice in an email to someone who does not know you, and anywhere the reader should be able to inspect the destination without an extra step.
When a short link is better
A short link fits in a text message, on a printed card, or in a place where a long query string would wrap or break. It is also easier to say aloud if you only need the code. Use one when the length is the problem, not when you want to hide where the link goes.
What does not change
The page at the end is still the original page. urlBurp does not rewrite it. On this site the visitor also sees the host name on a preview page before they continue, so the short link does not have to be a surprise.