The transmission fluid cooler lines are I believe low pressure, unlike the oil cooler lines. They will *probably* be fine.

Typically you need a beaded end or barbs to ensure that the hose doesn't slip off, and you should check to see at least that the person who made this repair de-burred the line ends so it doesn't cut through from the inside.

My car had the oil line to the turbo "repaired" this way, ...

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Gone to the dark side

- Jeff

If you were to use a longer piece of Hose you would not need any barbs on the tubing because there is no pace forward or backwards for the tubing to move.
With a longer hose a 3rd clamp could be added to each side. Also the Hose may be of a small enough diameter to use the Fuel Injection Hose type Clamps that do not have the Grooves that cut the Hose like the worm gear type clamps that are on it do.

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84 300D, 82 Volvo 244Gl Diesel