No I think you were correct, the use of 'Right of Way' is often misused by the average member of the public when they actually mean 'Priority' it's use within the common vernacular I suspect is extensive
To be fair, I'm someone who uses 'right of way' incorrectly from time to time despite knowing the legal difference.
I wasn't going to go into this, because for one thing I'm not a qualified lawyer, and there's a risk that I don't know what I'm talking about, but as you've raised it, I'll touch on this thought ...
Priorities are relevant when two or more road users are using the same road system. In this particular situation that does not seem to be the case, it's an intersect between two systems with differing 'rights of way' for each - one being the highway, the other a dedicated cycleway (and footpath I think), where rights of way are different. It's one reason I felt the elephants' footprints' might be useful at this intersection.
Any lawyers in the house?
Addendum: no takers? I'm going to do a Sir Humphrey here and suggest that, 'in this particualr circumstance, the intersection in question places the right of way of those users upon the cyclepath in competition with the right of way with those users upon the Queen's highway. However the planners have resolved this competition of rights of way by sensible use of the currently available techniques, primary legislation, case law, planning protocols, and all other precedents in careful consulation with, and consideration of all interested parties including local road user groups, specilialists and consultants in the fields of urban planning, road traffic engineering, and road safety campaign groups in order to establish which of the rights of way of are to be exercised as priority over the right of way over the other. Therefore the duality of the aspects of the rights of way of one group of users and the other, and the priority of them has been sensibly established and designed into a system of compexity with elegant simplicity.'