That's intimidation by seeing what someone is capable of doing.
True, but it is a strength based action that is doing the intimidation.
But lets compare different skill/stat combos:
Climb: While it makes sense to have Str reflect certain aspects of climbing, others aspects are better reflected by Dexterity, or possibly by Con.
Disable Device: Intelligence makes sense for figuring out how to disable complex devices, but dexterity in manipulating the device's works is just as important. For some other devices, Str might be key in the sabotage.
Escape Artist: Here, dex makes sense as the main stat- but a Str based check makes sense for PCs capable of simply busting ropes or chains.
Forgery: Intelligence and Dexterity are arguably of equal importance- the former lets the forger analyze and design his forgery, the latter gets you the control neccessary to execute a flawless copy. Yet by rule, only Int matters.
Craft & Profession: Does it really make sense to base the former on Int and the latter on Wis? I can think of various crafts and professions that require other stats than those.
Survival: Wisdom is probably most key here, but there are a lot of things about the wilderness that are just as likely to be Int based, like knowing which mushrooms are poisonous and which aren't.
Perhaps the solution isn't a swapout. Perhaps its a question of choosing the stat that is most appropriate for the situation at hand.
IOW, a PC using the Disable Device skill might use his Int for one Device (say, a Rube Goldbergian puzzle), his Dex for another one (a lock of MW Dwarven manufacture), or his Str for yet another over the course of an adventure (breaking a part of a portcullis system).
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