Ui would never do anything that hurts Yui. Even if Ui is theoretically better at most stuff Yui can do (like playing guitar), she would never go against her sister in some sort of head-on competition, or lose if she had no other choice. She values Yui's pride over that of herself.
However, I think Yui's skills shouldn't be underestimated either. For her, motivation is the key to her determination and if she can beat Azusa in terms of guitar skills during performances, she could probably outdo Ui as well. And even if she were to lose against her, Yui would probably be more determined to become even better in the long run, and her sister would support her all the way through.
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