The marketing tactics of businesses should be focused on customizing the client experience to make each interaction meaningful and valuable. Personalizing your automated replies makes your customers feel good (if you do it right) because it helps you say something that’s actually helpful and targeted.
This is true! The nuclear option also helps the recently returned vacationer understand what is a priority and what isn’t. But, as boyd wrote, “if you just turn off your email with no warning, you're bound to piss off your friends, family, colleagues, and clients.” The blog post offers some helpful steps to make a clean break feasible — they include communicating with colleagues about the sabbatical long in advance, managing expectations of those who rely on you, creating a backdoor for true emergencies, and then, right before going away, reminding everyone about the sabbatical once again.

I think people still understand that out of office can refer to home office as well. But you could say “unavailable” or “away from work”.
If you can, include the sender's original message in the automatic reply, to help them 'unsubscribe' you of any list or to remind them about their enquiry, which can be forwarded to someone more suitable.