i agree that acorns smell amazing - and most species smell different from each other!
northern red oak is kinda borderline oily enough to press for oil, and i wouldn’t expect a piteba to do much against them, even if you could find a way to grate them up into fine threads. the tannins are water-soluble, not oil-, so one can press unleached acorns and get good non-tannic oil, but it’s super fiddly, even using an originally $10,000 press like we do at the nuttery. there’s so much starch in them and amount of oil is so low (as opposed to the more commonly pressed nuts like walnuts and hickories) that it’s easy to accidentally scorch them just from the heat that builds up without all that much pressure. and they’re pretty hard, so it takes a fair amount of pressure. southern reds have more oil (and generally have an orange-colored kernel because of it) but i can’t imagine that’s what you’re dealing with.
collecting them green definitely the way - they just turn brown when dried for storage.