It sounds a little like you've answered your own question.
In my opinion there's only really one reason for bowling on a "sport shot" or PBA experience, and that's if you want the challenge. There's no doubt that bowling on these patterns requires more accuracy and consistency than bowling on a house pattern.
The reason I bowl on more difficult patterns is that I don't just want to be able to bowl well in one place, or on one condition. I want to be able to score well anywhere, and that requires experience and good technique. If all I did was bowl on my home centres house pattern, my technique would change and adapt to the environment, bringing in bad habits which enable me to score in one place, at the expense of technique that will allow me to score well no any condition.
I enjoy bowling, and I want to see how good I can be, I think that's a good enough reason to bowl on these more difficult conditions.
That aside, I disagree with others claims that you can be "too accurate" I don't think there's such a thing. If you're very accurate and can play anywhere on a lane, then your consistency shouldn't be a handicap.
If you're looking for a tangible benefit, the more experience you have on difficult patterns, the more you'll be able to adapt when you go to the USBC nationals. You seem to have already recognised that bowling on THS requires a specific approach, bowling the sport shot just needs something a little different again.
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Reporting from England