I Don't know anything about BM Balisongs...but I have about 30 other BM knives. All of the knives I own have the Benchmade butterfly logo, on the blade. Is it on the other side of the blade (regarding your pictures)? Normally, under the butterfly...you will find the model number. There are a lot of cheap counterfeits, out there. Here is a Balisong picture described as a BM 35 (although it looks like 32 to me). All of my knives have the etch. I've never seen a BM logo stamped, like your knife...although I'm no expert. Someone else...will likely chime in.
Heretical Refurb / Mods of cheap old folders, since late 2018