The answer to your question must be a resounding "Yes, as far as Shinseki Evangelion is concerned, Anno Hideaki and team are firmly in the 'Author is Dead' camp when it comes to explanations for the franchise." The broader context of the quote from Anno that you've provided in your question, goes into more detail:
Evangelion is like a puzzle, you know. Any person can see it and give
his/her own answer. In other words, we’re offering viewers to think by
themselves, so that each person can imagine his/her own world. We will
never offer the answers, even in the theatrical version. As for many
Evangelion viewers, they may expect us to provide the ‘all-about Eva’
manuals, but there is no such thing. Don’t expect to get answers by
someone. Don’t expect to be catered to all the time. We all have to
find our own answers.”
– Anno Hideaki
This is not really surprising, as it's the only stance consistent with the themes and aims of the franchise itself, being based as it is on the philosophical platform of 'postmodern existentialism.' In this schema, there is no such thing as 'objective meaning', only meanings constructed by each individual as a function of their own existence.