Hey spambot. Why not use search WISE and read all the many many other posts and answers on this question.
Since you joined in 2011, it's been done to death.
But here's a quick summary of MY understanding of the WISE (formally Transferwise) process of say GBP from UK to Thailand where there are three partner banks which are used, Bkk, Kasikorn & Dee Money who will act as intermediary banks for any others. There is NO actual transfer between the two countries, WISE has Baht deposited in their partner banks here. It will show as a local transfer on any paperwork from WISE, and in your Thai bank.
If it is for Immigration purposes when you need it to show as a foreign transfer, those are the only three which will show it a such and you will have to get a Credit Advice from the others. You must put the reason as long term stay or buying a property for that foreign coding.
As for timescale it is usually immediate if those two reasons are NOT used. If it is for the two reasons quoted, it should arrive shortly after 2pm the same day if instigated before about 6am, or the next day at 2pm because there is a modicum of human intervention involved. A weekend, or public holiday will affect this.
That is my understanding of the WISE system from past experience and reading previous posts on the subject.