Transferwise doesn't report but of course will comply to investigation of the tax authorities. So if you are under investigation for some reason, they will ask Transferwise if you have money with them
And of course if you transfer money from TW o to TW to your account, they can︀ know. But if you receive money from a third party outside your country, it works:︁ let's say you rent your house to a Spanish guy, they pay you on TW,︂ you are in Italy, the Italian government has no way to track that. Or if︃ you work remotely for a USA company. As long as you don't get investigated, TW︄ might work, or at least it's not what gets you investigated.
Can this last long︅ term? Who knows? Nothing last forever but TW clearly says that this is going to︆ be a business decision, as long as they don't want to become a real bank,︇ they have no obligation to adhere to CRS, and with UK outside of Europe pressure︈ might be lower. So at the end of the day it always depend on how︉ much money you are passing on TW and how regular that money is.