At some point, there becomes a mathematical impossibility of too many pages of applications for too few evaluators who also have to do the rest of their jobs. Either they don't get quite that many applications, or the initial evaluations must be based on some incomplete reading (looking just at the resume, reading a subsection, skimming, or randomly discarding), or the backlog keeps growing.
Fwiw I also applied and the auto-reply said I should expect to wait 4-6 weeks, which has recently passed without hearing back. The application is a ton of work, and I don't mind doing it with a significant chance of being considered, but I think it's a normal reaction to be devastated if you put all that time and energy into crafting your materials, which manifest all your experience, behavior, and personality, and it turned out nobody read them. I still have a little hope, but I'm sorry you never got a response.