If the $1 vote was a single vote from a single account, then yes, the non-linear curve would give a different result by design. This will hopefully prevent comment farming and self-voting we see which leaves more of the rewards pool for valuable content. If it was a number of votes, then I think you'll begin to approach the same amount as previously. See the deep dive for details and examples: https://steemit.com/steem/@vandeberg/reward-curve-deep-dive

The end result is, yes, I think the author rewards per post will go down. If that's too much of a problem, people may want to try other experiments like https://palnet.io or do what I suggested in my post and hide the $$$ to figure out what motivates you to be here.