That doesn't mean they're fully on-boarded until 6 months in.
Brooks exact numbers might be come from a different time, but the principle holds unless you have an uncommonly decoupled set of problems.
If you're doing anything complex (which can just be: if your codebase is more than a year or so old) than the quality and velocity of code someone can contribute on day 1 is vastly lower than they can a month later.
I see the Mythical Man Month tossed around as an excuse for not trying sometimes - by people who haven't even tried to split up and spread out chunks of work in parallel - but onboarding cost is definitely real.
You gotta evaluate "can I get enough overall throughput at this point in time to make up for the total efficiency lost" and also the rest of the business priorities outside of this one project.
Onboarding is a real thing but Brook's calculations are absurd by today's standards. 1 Month to onboard someone? We have developers committing code in their first week. Sometimes day 1 or 2.
Read McConnell's essay. It's v. good.