It does not really skip it, not in the android app in any case. But you are right that it is barely there, it's more like a very short 'noh'.
And I do believe that is indeed the right way it is spoken by humans.
Too many to list. The vast majority of sports have their English name, or a name the English is translated into Danish (fodbold or vandpolo for example) but you also have tennis, badminton, golf, basketball, squash, the list goes on and on
I'd be surprised if there was any language in which golf wasn't golf :-). Squash is a relatively new sport and I wouldn't expect a Danish term. Can the age of the game be taken as a rule of thumb - older games have been translated, newer ones keep the English name?
I think most games that are played internationally now emerged in the 19th century, and English then already was the major international language. That's why most sports terms in a lot of european languages are (localised) english words. Even in French! :-)