That article expresses one theory. Of course it doesn't mention the fact that the economy in Texas has been besting the national average since long before the shale boom. Since right about time we started electing Republican governors, of turns out.
But saying it doesn't make it so. You cite no metric, or evidence, or source to support - or even clearly define - your claim.
Lets take a look to see if this is real, or good old Texas bragging.
Since the current Republican hold on the governorship began with Bush in 1995, lets look at an actual chart of Texas relative performance. What we see is that the ratio of the Texas per capital GDP to that of the overall U.S. sank after 1997 (it did worse than the rest of the nation) and did not recover to its same relative economic performance until 2010, with the recovery occurring after 2006 --- or just at the time oil shale arrested Texas's declining oil production.
So no, your claim is a fantasy.
I charted the data and like looked anxiously to see which party had better economic growth. It turned out that both parties had years of high growth and low, all over the place. The chart made one thing very obvious, though. Economic growth had ALWAYS improved under every Republican administration, and always got worse under every Democrat administration's budgets. No exceptions.
My, my, my. What a nice little story. Full of angst, with a surprise, and to you, heart-warming ending.
It is a shame we have only your word that you didn't just, you know, make this all up. You cite no specific figures for any administration, or overall figures, that could be easily checked to see if you did any of the math correctly. I guess you figured that everyone would have to perform (I won't say "replicate") the whole analysis to check to see if you aren't just blowing smoke.
Problem is, lots of other people have done this exact same analysis, and consistently come to the opposite conclusion. Just try Googling it. Look for example at the Conservative British economics journal The Economist. Their analysis is interesting because they find it embarrassing to admit and look for ways to turn a silk purse into a pig's ear.