If you work with regular clients, then you may want to send holiday messages to clients to help maintain these important relationships. Reminding clients that you are there for them through these brief messages can go a long way to creating goodwill with these pivotal connections.
Above a certain level in my agency managers have to designate an official delegate when they’re out, which can easily result in out of office messages like what you’ve listed. Not the most elegant, but clear and useful!

Meanwhile, I do sometimes put up long ones when I will be away for some days during a season in which there are a confluence of three or four very likely reasons someone would contact me, and who else they need to contact isn’t the same. Like, it’s high llama grooming season, and generally during this month I get two or three requests per week for each of llama bleaching (for which my backup is Stella), llama shaving (for which it’s Arturo), and llama perming (for which it’s Carter). My message says I’ll be out until blah blah, and if it’s not an urgent llama grooming issue, I’ll get back to you after that, but meanwhile, for urgent llama grooming here’s who to call.
My phone just sits there gathering dust, so the only OOO message I need is the one I put in my email. Something like “I’ll read my email again on X. If you need assistance before then, please contact my colleague NN.”