That's why we do it. You got a definite indication of weak shaft. You would get a much more ambiguous indication with a fletched shaft, since it straightens out quickly. You're lucky to get a nock left, which is generally a true indication of an underspined shaft. A nock right can indicate an overspined shaft, or several other things.
So you can go for a lighter point, shorten the shaft, or get a higher spined shaft.
Hopefully, in the future, you'll be able to guess close enough in your initial selection of an arrow that your bare shafts won't be so out of tune that they fly sideways and snap.
It's a great feeling when the shafts are tuned for your bow and begin to fly bullet straight for you.