[stavros]

If I need an issue prioritized, I'd have a discussion with senior leadership until one of us was convinced of the other's viewpoint, or we understood why we can't agree. For example, if my issue is clearly higher priority than anything else, I should easily be able to demonstrate that to senior leadership, and vice-versa. If we can't agree for a specific reason, we can say "the data is too fuzzy to know either way" and try to minimize risk.

Not all organizations will work like this, but that's a dysfunction that will need to be corrected. In that case, you should do what works (and that will be different for everyone), my particular situation won't apply to your particular situation.