Do weapons requiring higher strength also require higher skill?

From what I recall, the only requirements to use weapons efficiently are the ones on the item’s description. If you don’t meet the requirements, you’ll deal less damage/swing slower, and may even be unable to draw your bow’s string. If there’s no skill requirement, then your skill level gives no extra (dis)advantage.

Also regarding bows, keep in mind that they shoot more or less flat, and that also depends on draw time (bows requiring more strength take longer to fully draw).