What is the advantage of quickly becoming effective? You'll probably only get promoted marginally faster, at best.
Personally, I quite like to be doing useful work, and normal ramp-up times for people seem to be about 3-6 months, which if you work at a company for < 3 years can be as much as 10-20% of your time. More if you're switching between projects within a company. It's pleasant to not have to waste that large a percentage of your time getting up to speed.
Here's a good example - I hired two admins within a week of each other. The second hire had closed more tickets in two weeks than the first one did in three. The first was gone soon after.