It could be that SN 5.10 is an abbreviated conclusion of Snp 3.12, which also features dukkhaṃ sambhoti describing the arising of dukkha based on the arising of several Dep.Orig. items and some more. If this is correct SN 5.10 is a simplification of the argument that Dep.Orig. is a process of suffering - which after all is focused on describing how suffering comes to be - not joy.
Btw SN 22.26, SN 22.57, and SN 22.82 very easily combine the two arguments without much theatrics:
The pleasure and happiness that arise from form: this is its gratification.
That form is impermanent, suffering, and perishable: this is its drawback.
And MN 59 offers a more hierarchical structure:
The pleasure and happiness that arise from these five kinds of sensual stimulation is called sensual pleasure. There are those who would say that this is the highest pleasure and happiness that sentient beings experience. But I don’t grant them that. Because there is another pleasure that is finer than that. [= jhanas & arupas]
So we have a number of suttas saying that sukha arising from the khandhas exists (which is trivial), it’s just not what Buddhist philosophy and practice focus on - either one aims at the refined states of samadhi or is supposed to dump the whole thing in the trash (as SN 5.10 suggests).