I've listened to this song several times, with headphones and at high volume. It's definitely NILE RODGERS playing guitar, it's his style. CYNDI LAUPER should have released this song as a single, and in addition to making a music video, it's one of the best songs on the album. Despite not being a single, the album track "Someone Like Me" received radio adds in Switzerland in June 1993 and in France in July 1993.

■ CYNDI LAUPER - “Someone Like Me” (4:06) (from "Hat Full of Stars" album)
Credits:
● Produced by CYNDI LAUPER and JUNIOR VASQUEZ(1993)
● Additional Production by WILLIAM WITTMAN
● Written by CYNDI LAUPER, ALLEE WILLIS, ROB HYMAN and ERIC BAZILIAN
● Recorded by P. DENNIS MITCHELL and WILLIAM WITTMAN (August 1, 1992 – February 28, 1993)
● Mixed by WILLIAM WITTMAN (1993)
● Additional Arrangements by PETER WOOD
● Guitar by NILE RODGERS (100% NILE RODGERS guitar style)
● NILE RODGERS appears courtesy of Warner Bros. Recods, Inc.
https://youtu.be/QHu-jtJMWlI?si=mbRTNBY-aK5ThYxt

■ CYNDI LAUPER - “Someone Like Me” (fan-made animated video)
https://youtu.be/2BorD3spSvQ?si=mPFW0S7rXszuyekw

■ CYNDI LAUPER - “Someone Like Me” (fan-made extended version)
https://youtu.be/8_Jz-XSUeMQ?si=8x03lDpc2jrQ_D4d

Nile Rodgers on 1994 Cyndi Lauper - Change of Heart
https://youtu.be/-NQFiyYmeZ8?si=9s7nwLJwPMhQ88tY