I've read elsewhere that Alpha is probably a low-bound estimate of realibility if the tau equivalence is violated (which is often is). An alternative was proposed which is the composite reliability. Let's say that my Cronbach Alpha produced a reliability (or internal consistency) of 0.62. However and using factor loadings (on this calculator) to calculate CR, my CR returned around 0.73. Could that much of a difference really exists? If so, can I safely proceed with my analysis and conclude that my construct or factor is generally reliable?