I disagree. Who has the authority to represent a culture? You end up with bizarre and jarring situations like when the Japanese government promotes wearing kimonos and yukatas while US based Asian interest groups attack people online for wearing kimonos or yukatas while staying at ryokan.
Turbans have existed for thousands of years across the Eurasian and African continents in different shape and forms, so saying that putting any turban the catwalk is inherently cultural appropriation and then to say that it's inherently offensive is very damaging in my opinion.
I think what people lose sight of is the specific problems that theories of cultural appropriation were meant to address and how they can be applied in such a way that it makes society better. They weren't meant to be some kind excuse for a lynch mob replacement of blasphemy legislation. The possibility to criticize different cultural practices and religions through subversion of symbols is important and shouldn't be banned in the name of cultural appropriation.
That being said, Gucci is can probably only claim to have had sales, profit and marketing in mind when they made this, not some sort of contribution to the public debate. And it does look a lot like a typical Sikh turban. So they could probably have gone about it in a better way.
The Japanese government may very well promote that, but if my Asian neighbor or friend tells me it doesn't sit well with them then heck yes, I think that person has the authority to say that and I should respect it. I would never use the excuse of the Japanese government promoting it.