This is a difficult lesson to swallow, but must be understood. I do still retain some frustration that there does not seem to be more effort to correct for this problem locally. For instance, in general you must speak to your audience and make emotional appeals. But me, your boss, should understand how to look past that and work with the facts, at least to the degree possible.
There are places that have this norm, but it's exceedingly rare, and it's not some perfect utopia. We're all susceptible to emotional appeals to different degrees, and emotions aren't some inconvenience that you should try to eliminate in favor of pure cold calculations, they also have a place and a reason to be.
People care about different things, so trying to focus just on facts can end up with people talking past each other, because they have different goals, value systems, or other fuzzy human feelings that can't be graphed in an Excel spreadsheet and compared numerically.
I'm not saying that emotional appeals and sophistry are fine, but I find that often when people accept an emotional appeal over a cold purely factual argument, it's because the factual argument is missing the point. A more important part of the discussion is understanding what other people actually care about to make sure we're not all talking past each other, or spending hours arguing details that won't matter in the end.
I don't see much of that.