Yes, 100%. When they see what client you're running, it clearly doesn't say OSBot, otherwise there would be a lot of bans. It does, however, show an unrecognized 3rd party client which does bring attention to your account (no, OSBuddy users are not in the same boat, as jagex does recognize their client).
Also, the point isn't how detectable injection on OSBot is or isn't. It's that when OSBot gets detected, mirror users will be safe and only have to worry about heuristics. Mirror mode itself doesn't technically lower ban rates - but it eliminates a red flag from your account.