I always give my DTV printout along with passport and boarding pass. However you would think that as soon as they scan your passport their screen should show your current visa status?
It sounds like the OP used a Thai bank account to show the embassy that they had the 500K when they applied for their initial DTV. That is "probably" why immigration needs to see "their" updated Thai bank book. So this was specific advice given to someone who showed they had the 500K in a Thai bank, not the same scenario for everyone. Probably... š
Received my remote worker DTV 2 hours after uploading my application to the e-Visa site. I used the Vancouver consulate in Canada. That was July 31st. Wife received her spousal DTV based off mine the next day.
I received my DTV from the Canadian consulate in Vancouver. I simply gave them a copy of my most recent bank statement showing >500K THB in CAD. They are able to do the conversion themselves, no need to show in THB.
If you want to do it properly, with no chance of being caught breaking rules, find a way to stay in the application country until you get it: Airbnb, friends/family, motel etc. If you like to live on the edge and don't mind wasting a few hundred $ and some time and maybe having to start over, don't wait. Up to you.