In my case it didn't speed up anything. Filed I-751 in Nov 2021, been at MSC/NBC since. Applied for naturalization in Oct 2022, finally got a fingerprints appointment for I-751 and N-400 (two separate ones, mind you), and both cases have been stuck ever since.
Waiting for I-751 for ~20 months, waiting for N-400 for ~7 months. My FO processing time is 8.5 months, but I've seen everyone else get their interview much sooner. People who field after me are already done with it, so kind of losing hope this will get resolved any time soon, and that I'll have to send inquiries etc. in early 2024...