I got my multi add-on last year before CFI with hopes that it would either lead to a job or at the very least help me get some free time (I worked at an FBO so I was hoping I could get an airplane owner that would take me along on trips or something.)

Over the year that I was saving up for CFI I couldn't find much of anything. At the time there were pretty much no jobs for a 275ish hour commercial pilot, and didn't have much luck flying along with anyone. Now that I've had my CFI for about a month, many doors have been opening. I went from no job or time building prospects to not being able to decide which one to go with. People put a lot of value on that CFI certificate.

That is just my experience. The factors are a little bit different for you with you having that foreign airline option and there not being a complete hiring standstill like there was a year ago.