It should be, so report it and the team will get round to changing it.
However, it should be noted that "He designs?" is used differently in English than "Does he design?". The latter can be used to start a conversation and the former would only be used as a response to previous information and usually expresses surprise or disbelief. For example:
Jim: Does he design?
Rosy: Yes, my husband is a designer.
On the other hand:
Jim: I love your table; where did you get it?
Rosy: Thank you, my husband designed it.
Jim: He designs? I did not know that he could.
Even though it's not actually related to Danish, I hope that's useful to you (or somebody else!). :)
I'm not too sure that "he designs?" should be accepted in this case. In your second example, Rosy has already informed Jim that her husband designed the table, so it wouldn't make sense for Jim to ask "does he design?", because obviously, yes he does - ❤❤❤❤❤❤❤❤❤ Jim, you never listen.
The same applies to if Jim and Rosy were speaking Danish:
Rosy: "Tak, min mand designede det."
Jim: "Han designer? Det vidste jeg ikke at han kunne."
"Designer han?" = "Does he design?"
"Han designer?" = "He designs?"