Can co-first authors' positions be swapped in CV?

Some papers have co-first authors, and they are supposed to have "contributed equally". However, there is still an order issue.

Imagine a paper co-authored by A, B, and C. The paper goes like

                                     A Very Long Paper Title
                                         A*, B*, and C
Our work is good.
-----
* A and B contributed equally to the work.

In this case, is it acceptable for B to cite this paper as follows in his/her CV?

B*, A*, and C. A Very Long Paper Title. Journal of Stack Exchange. Jan. 2015.

Note the position swap.

To me, this seems fine. After all, that is what "co-first author" means (to me).