Yes, in fields where precision is prized above speed, experimentalists can sit on controversial results for a long time looking for the cause of a discrepancy.
If I tell you that General Relativity is fine, and Einstein's a little more right, you might be impressed and give me a job. If I report that there's something unexpected about gravity at distances less than a millimeter, and I'm not absolutely correct, it might end my career.
Irreversibly-unblinded blind experiments are a technical way to solve this problem (I just unblinded my thesis work a week ago. Gravity turned out fine, after a clerical glitch.), but it does not solve the social stigma that can be attached to someone who has made a measurement ultimately found to be incorrect.