We infer 'flow' from observed loadings because in the absence of rising oil on water inside the Gulf, there is nowhere else for this oil to go. There is currently no evidence of rising oil on water in the Gulf.
And conceptually, tankers loading inside the Persian Gulf at this point in the war entered through the strait since the war started, which implies that strait transit is not an issue for them in the absence of deteriorating conditions after entry.
Further, at prior inflection points in the war such as the signing and later collapse of the MoU, visible Persian Gulf loadings rose and fell exactly as you would expect if this represented a continuous in and out flow dependent on strait conditions.
Thus observed loadings strongly infer export to world markets outside the strait.