How about you set the 2 pots steeping (a given grind & coffee for each), skim & taste intermittently after 4 mins and keep going until cold? Decant & enjoy either when they taste great...can't go wrong unless you end up with cold coffee (even if you do, no harm in leaving it to see what you get the next day?), or land in a trough between 2 preference points (if it's hot enough, leave it some more).
If the grind is on the coarse side, you can hit a good flavour, but then extraction clamps and the longer you leave it, the colder it gets without further significant extraction. Go finer (but not so fine as to prevent quick & even wetting, or to result in too much undissolved solids in the cup) and it'll extract further with time.
My point being, 2 different grinds, or coffees, steeped for the same time isn't an apples to apples comparison in any other regard than time steeped. If you steep for 4:39, then the only thing you can be sure of is a 4:39 steep, but the minutes & seconds don't necessarily correlate to a consistent state of the brew (unless you are using a specific method for certain coffees - I don't mean to imply that you can't be consistent brewing by time, you can). I often read how a French press makes coffee taste a certain way, or 'works' with certain coffees, typically it can, but it doesn't have to. It's a pretty good way to explore coffee at a range of yields...if you have the time & can keep the silt down.