Yes and no, if a website is popular enough, new posts will get indexed by google within minutes of posting. The problem is, not even hive.blog is big enough to have hit that threshold yet.
High ranking on search engines will bring in new users though, so that's a benefit regardless. However, it may be worth having a way for posts to get multiple payouts if there's sudden spikes in traffic to a post long after it was posted. This will incentivise people to write higher quality posts with long term re-share value.