Teespring has informed me that this pause in the integration is just TEMPORARY. They have a limit of how many designs they can move to Amazon per day, and with the amount of sellers that are asking to get integrated, they are working on it. You can STILL get started with this method, just start uploading your designs and optimizing them on Teespring. That way, you are already ready to go once your account is enabled in the coming weeks.
I can't create designs anymore on Teespring, I already reached my tier limit. I had a lot of designs up from early 2016, which are already saturated. I also didn't receive the globe and I already figured out a lot of people which I know have this problem since you can't delete designs. If they don't fix this or allow to delete designs I won't be able to use this method once I'm activated for amazon access. Shopify/Teelaunch works well but fraudulent sellers eat my profits and my Merch account reached the limit selling 5-10 shirts a day which is really good but I guess it will take a while for the tier up so I'm not really able to scale for now, was really excited about the teespring method :-( but yeah.. expected too much