One of the special uses for the Athletics Skill is Endurance, where you can, potentially, ignore fatigue gained by running, swimming, or climbing. However under the current rules you cannot gain fatigue from climbing.

I would suggest, rather than remove the reference to climbing, to change climbing instead. Also failing to make progress climbing means you fall is a bit harsh imho.

change

"If he fails the test, the character falls from his starting climbing position."

to

"If he fails the test, the character makes no progress and, if he fails his climb test by more degrees than his SB then he suffers a level of Fatigue and must take a Str test or fall."

nice partial safety net on the climbing to catch yourself but it can potentially fatigue you from strain and panic. Also gets fatigue and related talents being used.

Pass or fall is a bit harsh considering fall damage. It also makes for a more tense session as you stagger to your feet after having a few close calls scaling a cliff or gantries.