I think most likely people won't understand the change and be frightened from voting. But what you say at the end should be true: it shouldn't make a difference whether you vote a few times at full power or many times at reduced power. Actually, voting many times at full power should be exactly the same as voting many times at reduced power.
The other thing to remember about the change is that while you use up more power on each vote, your vote is also much more powerful.