The phrase can imply that the departure was not fully voluntary but necessary.

Forceful Departure

It often suggests that the departure takes place earlier than normal or expected.

Early Departure

In sports, it indicates a serious penalty for a player or coach.

A send-off in sports can significantly alter the course of the game.

This use is filled with good wishes and positive emotions for the departing individual.

A send-off here is an organized, sometimes ceremonial, way to bid farewell.

Indicates a sudden or immediate order to leave, often without courtesy.

This send-off is informal and can seem disrespectful.