So at least we've narrowed it down to the US (unless Canada's a possibility), and either an original with an unusual purpose or a very well-done "bootleg" repro. But I'm betting against the latter as I don't know how you could make a reproduction that has more detail in it than the original.
Actually, I guess there is another possibility: as you say, some kind of *licensed* repro. It would have to have been licensed because it seems to have been struck from Peak's original art and not scanned or photographed from an earlier poster. Only EON or UA, logically, would have access to the original art to make that possible.
It has to be done from the original artwork (or a high quality photo). If you use a printed version, you'll always get the original halftone screen patterns interfering with the new ones, which will result in ugly Moiré patterns. This can be eliminated to some extent – there are techniques for de-rasterization, but it requires a lot of fumbling and always end with a certain loss of quality and detail. Pros hate this, it's one of the deadly sins in printing.
I'd say what you have here is something that wasn't intended for theater use but for use on an outdoor advertising column or a billboard.
These posters are usually printed on a thinner, non-glossy paper. In order to stick properly on a wall or a column, the posters need to be soaked with the adhesive paste, which does not work very good with glossy papers. These papers are usually calendered (which means they run through heavy metal rolls) and sometimes coated to close all pores and achieve the glossy finish.
Posters for outdoor advertising are usually printed on a thinner paper, about 115 grammes per square meter with a more rough surface and must have certain other specifications (such as a certain wet strength etc.), Very often, these posters have a blue back side which is to avoid older posters on the column or board to shine through.
And yes, printings on glossy papers are usually much finer than those on rough papers. The halftone screen resolution on rough papers is usually around 30, sometimes up to 40 lines per centimeter (sorry, I learned my trade in metric system – Royale with cheese), on glossy papers, it starts about 40 and goes up to 60 lines/cm or even more. Has to do with the fact that the printing colors tend to bleed more on rough papers than on glossy papers.