I have never been asked to show how much cash I bring in to Thailand in over 12 years, so how would this work in your response to the OP’s situation???
you say it is slow when if you look at the WISE terms it CLEARLY says it takes 4 days… so it isn’t slow, it is exactly what they say it is Sherlock!
You saying it is slow, well it isn’t!!!
I don’t have the patience or crayons to explain it any simpler for the likes of YOU who don’t process the information that is provided by the company and service you are using.
I had no issues updating my Bangkok Bank to get a new card, still had $$$ in the account. The bank will need your current card, your bank book if they issued one ( I have a bank book with BKK bank ) your Passport and have a Thai phone 📱 number, will make everything a lot smoother. Best of luck.