Can't see what the problem is. There are loads of small brass screws available out there. A company called Screwsline has thousands of them in a full range of gauges and lengths, and a variety of head shapes.
I did look at them in depth yesterday, but by the time you added postage & VAT it was twice the price, for the same sized screws I bought. I ended up buying 3 sizes, and a mixed 100g pack.
That mixed sized pack of small brass slotted screws will be particularly useful as it has a few round and raised head screws as well, amongst the flat head.
Just occasionally I need really tiny screw, I'm not seeing any online, I have very few left.
Not long after I moved back to the UK around 15 years ago I was at a large Antique, Collectors, Fair and Flea Market, near Malvern, as I wandered around only looking at wood & bras, and other vintage, photographic items I realised I was being followed. My follower then politely said I'm really interested what you are looking at, and why, turned out he's a very reputable horologist, with a shop, but also doing very high-end clock restorations. I had bought some TP shutters & that had sparked his interest, he'd recently bought an old wood & brass camera.
You could ask why is this relevant. At the time I was looking for another supplier of tiny/small brass screws, (I'd bought and used some of the sizes my hardware stored had stocked), he told me he had his made for him, because the modern brass alloys didn't match on restorations> he had other replacement parts cast. Traditionally brass was 2 thirds Copper and 1 third Zinc, the Zinc oxidises, fume extraction collects the Zinc Oxide, and it gets used in cosmetics and medical products.
Because Copper prices have gone through the roof in the last few years, modern brass is quite a different alloy.
Ian