Sure, it doesn’t have to be ‘geographically’ Turkish - but it certainly tastes better when it’s made by someone who has it in their cultural background. Someone who’s made it their entire life and who learned it from her mother, who learned it from hers, etc.
For example, I buy mine from a very particular shop in Rotterdam here in the Netherlands. They specialise in Turkish Delight, with dozens of varieties. Like you say: they use good, traditional ingredients and it’s made fresh. It’s a place where the local Turks shop, and very highly rated because of their quality. It’s frequently mentioned as some of the best TD in Europe. They even ship it internationally.
I recently got a kilo, just to share with family and some coworkers who have never had it. I wanted to be sure that their first experience of it was a pleasant one. With chewy, flavourful TD made the proper way. Everyone loved it.
Thankfully in the Netherlands, we have a large Turkish population. Which means you can usually find something decent in your own city.