Yes, it does. You should think of a good reason to change it first. 
The problem with roundabouts is other arms don't necessarily contribute to it.  
Have you considered `=*_link` as well? Eg Tsing Tsuen Rd. And in Tsing Yi by your logic, the `=primary` should extended from Heung Sze Rd across to Fung Shue Wo Rd to Tsing King Rd, as the `=residential` road doesn't contribute to promoting it. 
For one particular case you should change Ching Cheung Rd to `=tertiary` instead, with the `=secondary_link` left-turn. This further questions how the one to the east connecting Lai Chi Kok Park `=service` road should have at least one section changed (the other has a u-turn back to westbound to access another `=service` road on the `=secondary_link` ). 