The news today reported that the US is intending to issue a "limited number" of commemorative passports for the 250th anniversary, and the design will reportedly include a picture of Trump in it (among other, more traditional images). Assuming that these passports are otherwise identical to the current ones (same data, built to the same international standards, etc), would a foreign country be able to reject just this version as a proof of identity, while still accepting other US passports?
Note that this isn't about whether or not they will let the person into the country - that's a matter of visas (or exemptions from them), and it's not about whether the foreign country will accept passports from the issuing country at all - there's lots of documented examples of places that you can't enter with certain countries' passports, or with a valid country's if it's stamped by some other one. This is specifically about whether a country can, under international standards, pick and choose which types of passports from another country to consider valid.
Are there examples of this happening before? Are there treaties which say that all passports must be considered equally valid? And, assuming it does happen, would the individual in question have any recourse other than to take their complaint to the US State department (via embassy or back in the US) to make it a diplomatic issue?