Quick can be bad - if someone submits a resume on day one that is good should we hire them or wait a week for someone else to discover the position? If you don't know you want to work for the company until by random chance is shows up in one of your searches as hiring your type of person then you need the time to discover us. As a results policy is we can't interview anyone until the position has been posted for a week, or we have at least 7 people who seem worth interviewing. (you want to be in the former - less competition: we will prefer to wait the full week instead of taking all 7 - though do note that week 1 is posted only to internal transfers in some cases)

In most cases people don't actually have two serious leads to a job at the same time. I know it is potentially years of your life that you need to decide on, but for most people there isn't a choice. If you are on unemployment you need to justify not taking a job offer or you lose benefits (this varies by state/country). Even if that isn't a concern, odds are you have one offer in hand and a few leads that probably won't call you in for an interview anytime soon so again there isn't much hope anyway.