But since you take issue with my deliberately tongue-in-cheek analogy, it may surprise you to learn that in Formula One the remaining competitors do not kindly wait for a driver who has suffered a "mechanical" (i.e. visited the pits for a compulsory tyre change) to catch up !!!!!
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Probably because a mechanical in cycling lasts a matter of seconds and they are rarely(if ever) terminal in relation to a riders ability in finishing the race.
In F1, they more than often are.
And yet, when there's an accident in F1 they often deploy a safety car, thereby giving everyone else a chance to at the very least catch up, so isn't that similar?