Military or no?
Pilots come from a lot of different backgrounds and they certainly looking at more than just flight experience. That being said, I imagine they prefer people who have at least experienced their type of operating environment. I would guess that single pilot time probably won’t get you extra points on your app.
I know a few people hired from the 135 world (myself included) but they all had previous 121 time. Not to say that we haven’t hired someone with all 135, but I bet they are few and far between.
Also, what else makes your app stand out? There are plenty of applicants with your flight or better coming out of the 121 world.