Strength and Skill

The right balance between those two can be very elusive, unless it is clearly a strength skill. 
For most other bodily skills, the better you get at it, the less strength it requires.

People that engage in a high strength practice will little or no skill involved, be usually more in the category of fitness people, while people that fully engage in skill work would be ranging from artists to athletes.

But other then categorizing people, strength is generally known as one of the biggest factors that determines improvement in a sport, and adaptability to new patterns.
Strength does help in the first steps of acquiring new skill, before higher efficiency sets in and strength become less of a factor. Which also mean that weaker people could acquire it with more patience. 

Strength and flexibility also play a big part in injury prevention. 
Flexibility in yielding to unexpected impacts and strength for joint stability.

For fitness people, getting into skill work might not be a requirement of their field, but it always broaden their perspective and understanding of their field and would have a big impact on their coordination and quality of performance even in their fitness field, if only due to the fact that the central nerves system gets so much more developed in this type of activity.

For skill people, strength work could offer a bridge to brake through plateaus, but here it is much more individualized and the main purpose should be kept strongly in mind, it is a matter of a fine balance and setting clear goals, or even periodic goals to allow measuring the progress throughout the years.