Is this primarily aimed at citizens of the US and countries otherwise not serviced by Stripe? What could be a reason for me to want this as if I'm, say, German or Canadian?
Germany and Canada are excellent countries to run a business from. Can I pitch you on the United States? We're a large country with a thriving technology industry that spends billions of dollars on the thing you sell. We have thriving capital markets, including a majority of worldwide dollars in seed stage tech companies, at terms which are better than you will receive anywhere else. We have millions of very smart engineers available for hire. Doing business in the United States: a great idea!
Doing business in the US? Do it as an American entity! We're institutionally equipped to deal with companies from 50 jurisdictions but as soon as you say GMBH or Euro we get very confused. US companies have huge logistical difficulties doing international payments relative to domestic payments; you can find a company with $50 million in the bank whose CFO literally had no button available to her that could possibly authorize an international wire. Many routine acts of commerce will require a number from you which any US entity can get by sneezing and which a foreign entity will take months of effort to achieve. We have a variety of cultures nationwide; essentially none of them routinely interact with foreign corporate entities and essentially all of whom will view those interactions with caution and annoyance rather than the routinely extended trust and assumption of fair dealing that all domestic entities enjoy by default.
You will be in great company! (Ba dum bum?) Substantially every German and Canadian major corporation, and hundreds of thousands of natural German and Canadian people, choose to use a Us entity so that they can conveniently interface with public and private US institutions when their business dealings bring them to the United States.
I want to add a UK-specific viewpoint for anyone with a British business who's wondering if a US entity is a necessity for dealing with US corporations.
I run a service-oriented business with 10 employees in the UK and most of our income is from US-based corporations. Externally we work entirely in USD. Once we determined our tax and legal positions, we've not encountered any problems with payments, wires, forms (W-8BENI is accepted in place of W-9s), or taxes, and our customer roster is a couple hundred tech companies - ranging from F500s with arcane vendor account requirements, through to mid range companies, startups, and small ISVs.
Trade between the UK and US is common and, depending on what you are trading, has a low amount of friction due to the UK's relatively open nature and low level of bureaucracy on matters of banking, international trade and taxation.
(If you sell physical items, need to take on US-based staff, start a US office, are a low margin business that couldn't take exposure to exchange rates or cross-border tax volatility, or need to appeal to US investors, disregard the above and get a US entity! :-))