4 Takes?

So yes I have heard consistently that Adcoms "only consider your best score." On this topic however, I have a couple questions:

1. Do you think having a score report with 4 attempts diminishes the value of a good score (let's say 720). I took the test in 2008 about 4 years ago and scored a 620, took it in December with a 640, and today with a 680. I will be retaking as my targets are top schools. While the 620 is on my record, it was to get into a MS Accounting program. That being the case, despite that it is on my record, I don't really feel like it's an attempt - I don't feel crazy for wanting to try a fourth time b/c for my MBA pursuits (started studying in Sept 2011), I have tried twice now.

Is it nuts that I want to try a fourth time (feels like my third)

2. As far as "considering the applicant's best score only", do you all really believe that is true? When an adcom member sits down to review and application, do you think that they really don't notice multiple low/weak scores? Does that really not impact there judgement at all? If I personally had two extremely similar candidates and was looking for a way to pick between them, i'd be looking for anything differentiating factor. I'm probably being extremely negative, but really just wondering what people think. How true is this and is it true for every school?

My GMAT scores today was a 680 (q42 v41) - just completely folded in the quant. scored a 47 and 45 on my last two practices in quant. My goal is a 720 so I'm asking these questions to determine what my score report is going to look like to the adcoms littered with numbers from different years.

Thanks