Yes Logan,
Since 1959 Stihl has only had three basic bar mounts. The 009 through 025 all take the small bar mount. Now before some jumps on me the 024 does not because it is an early 026. The 026 through 066 all take the medium mount which is 12mm. Again there is a caveot because the 050 and 051 are early saws that are early versions of the 075 and 076. Those take the large 14mm mount like the Contra, 070, 075, 076, 084, 088, and 090. The BLK does also but is slightly different. The 090G needs the oil hole drilled through as it oils from the opposite side. Also with the 14mm bars a second adjuster hole is required on some. The 07, 08, and S10 also take the large bar.
In your case yes the bars you asked about interchange