I think the nomination of pro-tempore mods should have the featured tag so that it appears on the sidebar of the main site.
We want the attention, and votes, of users of the main site that are not active in meta.
Yes, but. . .
On almost every private beta I've participated in, the moderator pro tempore thread, whether posted by a Community Manager (CM) or a regular user, has been marked with the featured tag at some point, generally early on. Official or not, it is a very important process, and people who might not always check meta or look at the Hot Meta Posts box need to know.
That said, the way to deal with this is to flag the question, choose the custom flag reason ("in need of moderator attention") and explain why you think the question should be featured. A CM will hopefully see the flag soon and either add the featured tag or decline the flag.