Oh wow yeah, I really agree. GP - I think this is a great idea, and from your description here on HN it's really clear how to use it, and I thought parent commenter must be overstating it, but no it really looks like I might be supposed to enter where I want to shop, rather than what for.
It would help to preload some products (popular/trending at the moment perhaps?) I think or show some categories. So that it looks more like Amazon or any single shop, but the search gives you results from many.
I've wondered before why Shopify doesn't do this fwiw. Why isn't there a central shop entrypoint for all Shopify shops? Bit of crossover with Etsy perhaps, but probably the more serious end and beyond.