When you're on the event page and open the "more details" dialog, your name is listed first in the (partial) list of participants, following r817313 and related discussions. However, the same is not true for Special:EventDetails, where the current user could be anywhere in the list.
Technically speaking, special-casing the current user would make it easier to implement support for private registration on EventDetails (T319453). It would also be more consistent with the event page. And finally, I think it could help when adding the possibility to change your visibility (as an example, see F35550274, which relies on your name being at the top).
If there are no objections product- and design-wise, I think we should implement this.