As far as I know, your export profile just gives you a way to specify something other than output. If there is no difference you can just export with image settings as the option… THis would let you craft some presets for exporting and not have to keep changing your output.
Also the output profile does not feed into the display profile…otherwise when you change it you would see a difference and of course you don’t… The pipeline is passed to the display profile to correctly process for accurate display… DT has a bit of an issue I think still with some profiles and also how gamut mapping might present…if the profile is unbounded then it should be okay but because the display profile is processed in line with the histogram profile and that is the source for the full gamut clipping indicators you could get some false information with a poorly constructed display profile as it might introduce clipping.
This is an older thread and some work was done on this but I think basically the pipeline still has the same order and therefore this issue when conditions are met…as you can see if you start at the beginning of the thread even some of those working on the code were a bit unsure of how the data was processed… Anyway it would take some work and you could followup to the current state from the links at the end but its a good discussion and reveals a fair bit context on how the profiles interact…