Narrow doesn't bother me much. And, one acre can grow a couple of really big fish but not many.
If you're looking for a trophy bass fishery with lots of huge bass, you will need to look for a bigger water hole.
The NORMAL balanced pond can support about 100 pounds of predators. Remember that predators includes most fish without respect to size. It takes 10 pounds of forage, usually bluegill, for a bass to gain one pound. The best forage/prey for bass is 1/4 to 1/3 their size. So, the limiting factor isn't the size of the pond as it is the opportunity for it to keep generating forage of the appropriate size(s) for the bass to keep growing without expending too much energy.
All of those factors considered, a one acre pond can be a great fishing hole that creates some really enjoyable family fishing. However, due to the constraints listed above, it will seldom produce real wall hangers.