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Why do people use the latter terminology? For one thing, I find it confusing. It doesn't help that BCE is similar to BC.

But moreover, there is only one letter of difference between the two terms, whereas with BC and AD, the terms are clearly different and I find it easier to distinguish! Were BCE/CE established earlier than BC/AD? So, why does she ever tweet with standard capitalization (and do so quite randomly and quite frequently)? In contrast to the other answers, my answer (typing in only lower case is simply faster) explains the above tweets quite simply: