I have met many shadchanim who did not set me up. My case might be different since I am an “older single” so they are less likely to know people for me.
However, I also knew a 19-year-old girl from Lakewood who was a good girl but not a “typical Lakewood girl”, and when she met shadchanim in Lakewood, they told her that she needs an “out-of-towner” and they don’t have anyone from her. So she went on SYAS and met her chosson right away.
I would say that there really is no way to know, because it depends if they have anyone who seems right for you.
Also, many shadchanim (especially Lakewood ones) have tons of people calling and emailing them every day, so they can’t possibly set everyone up. I just saw an OORAH video with a shadchan panel. One of the shadchanim mentioned the number of emails he gets a day. I forget the number, but it was HUGE! somewhere in the hundreds, I believe.
So there is no way he could possibly be setting up all of those people!
So when you go to meet a shadchan, you should go in with the mindset that you are doing this to be yotzei your hishtadlus, but you are not necessarily expecting that he/she will actually set you up. That way you will be less disappointed.
I think it would also be a good idea to set up 3 or 4 appointments for the same day. That way there is a greater chance that at least one of them will have someone for you.
I also think that since you are probably not a “typical Lakewood girl”, you should meet with non-Lakewood shadchanim as well. Maybe try one or two in NY and try some out-of-town shadchanim as well. A Baltimore shadchan could be a good idea for you.
Hatzlacha!