Two messy teenagers here with an OCD partner, not their dad, not easy!
We have settled for somewhere in between which goes from most of the time avoiding vision of say mess, a lot of nagging to get dirty clothes down, clean clothes back up, and then depending on when I am particularly tired/they are particularly ungrateful teenagers, I shout that I have enough and that their bedroom need to be tidied.
What seems to work best is 1/ give notice, not hours, but days!, 2/ say that I will check at x time (and make absolutely sure to do so, even if I can tell they are tidying, 3/ try to engage in such request a time when they are in their more positive mood cycle, so are more likely to be responding neutrally to the request rather than with grumpiness, which will inevitably get me even more fired up!
About once a year, DS room gets so bad, I can't take it any longer and worry about what could be growing there and I will have a massive clean out. This usually result in him feeling guilty, telling me how much he likes his bedroom looking nice and promising to keep like it....which normally last about 3 days!
I remind myself that it is good thing there is something that will make be relieved when they leave the house to become independent!