That’s probably about how I would have pruned it. Here is another before and after pruning pic from another thread I posted last March. The tree I pruned looks about the same size as yours.
One thing you’ll notice with the tree I pruned is that the 3 scaffolds don’t originate at the same height on the trunk. They are all separated vertically by a few inches. That’s something you’ll want to try to do when selecting scaffolds on your next peach tree.
Because of the limitations with your fence and other trees close by, you will have to control the spread of your peach tree. This will require even more pruning, but it can be done.
If you haven’t had a chance to read about it you might search BYOC (Back Yard Orchard Culture) on the forum. There are a lot of topics where it’s discussed how to keep trees pruned in restricted spaces.
scottfsmith successfully keeps his trees in pretty enclosed spaces. If you haven’t seen this thread, there are some great pics of his orchard.
Here’s some more pics in the summertime when fruit is on trees.
Lastly spurious, you’ll want to make sure not to use any fertilizers with a high percent of N, to try to keep the vigor lower.
