A long time ago Mark Mayo told me that an answer that says there is no answer is still a bona fide answer by virtue of stating such.
Despite having no knowledge of matters arising under US law, I have seen US refusals before and after consulting with the applicant I concluded that these are much more whimsical and capricious than their counterparts in Schengen and the UK. The US uses a generic catch-all ground, something like 214 or whatever and this often leaves the applicant angry or perplexed or disappointed.
Answer: We don't need to see the refusal letters because they do not impart the big questions the applicant needs to know; the big questions are 'why?' and 'now what?'
Hypothesis: I am pretty sure that an application that gets approved in the UK/Schengen, in terms of evidential quality and credibility of premise, would be approved by the US. Or conversely, an application that gets refused in the UK/Schengen (for evidential quality or credibility of premise) would be similarly be refused in the US. The overlap may not be 100%, but maybe 80 - 85%.
Hypothesis: There's certain things a visa officer wants to see, and they cannot be so radically different between the three regimes.
Corollary Answer: so yes, a great canonical can be drafted that explains that...
we don't know why and we'll never know why without a detailed
examination of your personal circumstances along with your premise and
evidence. BUT... there are some centralities in these types of
refusals, and here's a list of considerations... (list items go here,
like funds parking, apparent lifestyle, you blew it at the interview stage, etc etc).
As for what to do about it, the canonical can explain...
You (can/cannot) appeal, and the internet fora cannot examine your
personal circumstances at the level you need, BUT if you need a really
detailed answer, you can instruct a US lawyer who has been called to
the bar and operates a practice area in US visitor visas, here's the
relevant links (list of links to US law and US legal resources with lots of links to existing q/a's in TSE so that people will spend a while on TSE browsing the archives)...
Following best practices and community etiquette, the q/a can be posted here to let everyone give some helpful ideas. Happy to see 'phoog' head up the drafting stage.