It's your beer, OP - do anything you like. With that being said...
Three weeks at 70 degrees F is the baseline for most beers. Cooler temps or higher OG can make this time longer. It is a baseline; some beers may be ready earlier, some may take longer.
To me, popping a bottle at one week, then another at two, is a potential waste of two bottles of beer. Sure, you can "take notes", but unless you plan to brew the identical recipe again and again, and treat it exactly the same (temps, efficiency, volumes, etc), these notes aren't too useful. Basically, you are guaranteeing that, when you get to the last few bottles of the batch (which are typically the best ones, thanks to a little age), you'll have one or two fewer good beers in the name of "research".
But again, it's your beer.