Those that believe that luck has "nothing to do with it" are generally endowed with a huge ego and no way to see around it. Strangely, they're also the ones most likely to blame bad luck when things go wrong: internalize success, externalize failure.
The advantage to internalizing failure is that you can learn from it.
This is not to say one should have an inflated sense of value or "don't learn from your mistakes", but it is much healthier to optimistically look at failure as not a personal thing, but something external.
People who have succeeded and are confident in themselves are never afraid to look back and admit that a little bit of luck (and opportunity) was part of the equation. But by no means will they discredit their own personal influence and attribute the entire success to something external.
The only problem is the measuring stick always keeps growing taller. So what is "success" to that specific individual when they can't enjoy it or even recognize it as "good enough"? Others will tell them they're an amazing success, but they'll never believe it was enough of a success. That definition of being more successful is based on the others' perception.
Not only that, but you'll notice the study did not say internalizing success means you'll be less successful. It's possible to be content by valuing yourself in foundational principles like "hard work, integrity" etc. and through that achieve both success and happiness.
I'd be interested to see that psych study, but it does seem pretty common sense, though. The more you value an outcome in life the more you'll spend your life chasing it - and the higher probability you'll reach it.
If you fail and learn not to do some of the things that led to the failure, there are likely still many more things you have yet to learn that may lead you to fail in the future (assuming you don't repeat your mistakes). On the other hand, if you succeed and learn from it, then you can apply some of the things that contributed to your success to future endeavors.
I'd argue that this may be one reason you see so many serial entrepreneurs... reflecting on what contributed most to their successes allows them to achieve similar successes over and over.
I'm not suggesting learning from your failures isn't valuable... it absolutely is. I'm simply suggesting that learning from your successes may be more valuable.
5.99999993 times greater in fact.
If lottery tickers were free then you'd get as many as you could.