even without that consideration, for things like disk storage, there is no reason[1] why incognito mode should have less access than normal mode. all websites should function as normal. the only difference is that in incognito mode everything is wiped once it is closed, and nothing is written to disk.
[1] ok, so the reason for the limitation is that the disk has to be emulated in memory because incognito mode must not write to the disk which could leave artifacts behind.
this makes me wonder if it is possible to detect a difference in timing for example when writing lots of data with an emulated disk vs a real one.