The Reference Desk/Is it CBBC? Or BBC One?

Quick question for British editors only:

In your opinion, if a show aired on the "CBBC strand on BBC One", was it broadcast on BBC One or CBBC? Our dates for SJA and TDW eps are actually pointing to the premieres of those episodes, which were, with I think only one exception, on "BBC One branded as CBBC", not any of the CBBC digital channels.

Obviously the shows were commissioned and funded by CBBC, but it strikes me that their debuts (with, I think, only one exception) were actually on BBC One. Where there have been similar, temporary channel re-branding in America, there's no question but that you'd say it was still the main network. Saturday morning cartoons may have had a overarching name from time to time, but you were absolutely still on ABC, NBC or whatever.

But I'm not British, so I don't know how that whole "CBBC on BBC One" thing was "perceived" by the average Briton.