Personally I don't think it does, but I've seen posts on this forum that say the opposite.
Edit: it's really nice to know that I'm not the only one that thinks this way.
Edit #2: Wow, thanks for all the replies Guardians.
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#Destiny
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Experience, if anything. Skill, however, comes from practise. A high Grimoire score lets me know you're capable, at the very least.