Please provide more info about the latest patch i.e. When it was released, etc.
If it is newer than the date of release for the latest trainer, then no, it probably wont, and you will need to wait for an updated trainer, or put in a very polite and appreciative REQUEST to PWiz for an updated one (because being polite is the right way to ask).
I don't know if there's been a new patch, but as far as I can tell the latest trainer here will only work if one hasn't purchased the DLC, regardless if you only use it without the DLC active in SP and skirmish offline modes.
If you want the trainer to work don't buy or at least don't install the DLC, or hope CH releases an updated trainer for the non-DLC portion at least. Otherwise, you are out of luck! Stopped playing the game as a result so far myself...
Since it stopped working last February or so after buying the DLC. Would love to see some sort of way to get a trainer to at least work in the offline modes again since that's really all I wanted to begin with.