In a naked log system, yes. But weighted by account age, perhaps decaying even a little bit faster than linear, this would be diminished.
Still don't get it. Why implement something really difficult if we already voting by our actions. Anyone disagree we're voting for future like that?
And remark to decentralization: vote (act) on any board u want, u're not boundared to vote coins (some amount of coins, that great mathematicians solved to represent ~you as) on most popular Nxt client.