In general you can always use different markings together on the same stretch of road unless TSRGD says otherwise.
The wide yellow kerbside ‘no stopping’ line is not prescribed on its own, so has to be illustrated in TSRGD for each of the two circumstances where it may be used – the one you mention and the bus stop clearway. But a normal yellow ‘no waiting’ line through a cage marking is fine, and you have the reassurance of having it shown in TSM Chapter 3 (and seeing the plate for it in Circular 01/16, as you say).
This is no different from the 2002 TSRGD which also did not specifically show a single yellow line within a parking bay.
Keep the questions coming – the more use people make of this forum, the better!