Some shorteners send the browser straight to the destination. urlBurp stops on a preview page first.
Instant redirect
An instant redirect is fast. The visitor barely sees the shortener. They also get no chance to read the host name if they did not already know it. If the short link was forwarded to them, the only name they saw was the shortener's.
Preview page
The preview page names the host and waits for Continue. There is no timer and no automatic jump. The button is separate from any advertising. The advertisement, when one is shown, is labeled Advertisement and sits in its own area.
That extra step is deliberate. It makes the destination visible, and it is where a visitor can report the link if it looks wrong. The trade-off is one more click.
Counting
urlBurp counts the preview being opened, not the moment someone presses Continue. A count means the preview was shown. It does not prove the person finished the journey on the other site.