Fill uneven gap between tile and tub
No, except that you need a product that doesn't shrink much (or you need to pre-fill to minimize depth and shrinkage). Pure silicone is good, as is urethane (though urethane is very difficult to work with if you're inexperienced--it sticks to everything, including fingers, and stays stuck). 

1/4" isn't unmanageable. Cut your tube at an angle, then trim the very tip flat:

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Apply the caulk with the cut parallel to the wall, and try to avoid any additional tooling.