You're Correct!

The follow through is an area that can be seemingly overlooked by golfers of an amateur level because once the ball is hit, they may believe the rest does not matter as much.

However, the follow through is a measure of where the club came from and also carries the momentum of the down swing.

If the follow through is shortened or not fully committed to then the impact position must have been compromised. This is particularly important in chipping with a player who stops the follow through shortly after hitting the ball. To physically do this, the deceleration would have occurred at impact causing loss of power and poor ball striking.

The driver is not too dissimilar because the follow through will help a player swing on the correct path and maintain speed through impact. The follow through can tell a player a lot about their swing, especially those looking to improve on their swing path.

If the club path is out to in across the ball then the follow through will point left of target. If you have an iron in hand, the divot will point left. The shot shape to relate to this would be a pull or a slice, so even if you dont feel the follow through, the ball flight will tell you what happened in your swing so on the next shot you can focus on getting the club out towards the target.
The follow through for a straight shot should be out towards the target, with the weight on the left side. Due to a straight swing path and good transition in weight, the follow through should remain balanced throughout with all the weight on the left foot, the right foot on to the toes and the club behind the head.

When an out to in swing path occurs, the club is pointing left of the target with poor weight transference which stops the weight getting to the left foot and in fact moves the weight to the right foot instead making the balanced follow through very difficult!

If the finish position has all the weight on the back foot with the left heel off the ground, it is going to hinder the impact position and the shape of shot, leading to a poor, unbalanced follow through position which will not have the momentum to be finished fully.

When the club head is pointing right of the target after impact and into the follow through, this would be a great drill for those who slice the ball but in terms of a straight drive would encourage a draw or push shot. The overbalancing on the left foot is a sign that the weight transition would be a little exaggerated.