My snobby psychometrics colleagues don't like alpha (even though it's used 98% of the time), because one can get a high alpha even if one has no general factor. Omega (hierarchical; not general) is the solution. I am writing to plea for consideration for future JMP (or if anyone is sufficiently challenged, an add-in). Thanks.
For more information see:
https://www.personality-project.org/r/html/omega.html