Why would you not reveal the maker? If indeed the workmanship leaves something to be desired, I guess we'd all like to know. As for your question, I'm not an expert like David, but gently pressing (with a handkerchief or teatowel or so in between) should be no problem.
Since the many "please gents use spoilers" posts seemed to have no effect at all, I decided to use a picture to get the message across in a light hearted way. That's all, no sarcasm, no sneer. Surprised you take it so personally.
Good observation. And exactly why I never embraced SF's predilection for really low buttoning jackets. That probably was a reaction to the ridiculously high buttoning jackets from a few years ago (also by Suit Supply!), but as always, there's a happy medium.