In order to be nicer to new participants I think it could be nice if they should not experience a negative vote total for the first question. I think it is one of the most discouraging things to experience if you are just entering the site. When we are new (and not so new) we tend to focus on the number and a negative vote total can make you feel like you have failed. And it is hard to write a Stack Exchange question.
So I think the we should be a little less strict to new users on the platform. And I think the quality/integrity of the site is not compromised by having some first question having a zero vote total instead of a negative vote total.
So to be clear I want to remove the downvote button for first questions only and only if the voting total is 0 (or less). If others have upvoted you should be able to downvote.
What do you think?