Yeah, absolutely, and you just reminded me to say that instead.

Until you get into bicycling culture to some degree, "on your left" is not just meaningless, but outright confusing. Does it mean "watch out, there's something on your left?" Does it mean "Get over on your left because I'm on your right?" Does it mean "Get over to your right because I'm on your left?"

It's a terrible choice of standardized expression because it's understandable only to insiders.

But that's why we like it, I guess. Knowing the jargon makes us insiders.