Yep your reasoning is correct, It's my bad I didn't communicate properly to @blocktrades, the idea is to convert everything in 2000 days, but the ratio will have to change from time to time as we convert.
I figured it would be the better solution because converting a set amount each day wouldn't take into account the fact that new hive could be added to the dao. (I actually have an almost completed version of the feature that works like that and I dropped it when I realized it would not be the best way forward)