Yeah, that seems reasonable to me as well. I'm honestly not sure if this is a "lie" in the most basic sense, or more information omission done in a way that feels intentionally dishonest.
At the very least, I do think that having an entire page in your docs about the user-agent strings you use without mentioning that, sometimes, you don't use those user agents at all is fairly misleading.
At the very least, I do think that having an entire page in your docs about the user-agent strings you use without mentioning that, sometimes, you don't use those user agents at all is fairly misleading.