Dear KTD,
Unfortunately the OP provided no context for the original query as to the specific sink involved.
Here are the only (slightly reformatted) direct refs to “handwash” that I could see in BRC6 –
4.8.4
>>>> hand-washing during the changing procedure shall be incorporated to prevent contamination of the clean protective clothing
>>> on entry to high-care areas, hand-washing and disinfection shall be provided.
4.8.5
>>> hand-washing during the changing procedure shall be incorporated to prevent contamination of the clean protective clothing
>>> on entry to high-risk areas, hand-washing and disinfection shall be provided
4.8.6
Suitable and sufficient hand-washing facilities shall be provided at access to, and at other appropriate points within, production areas. Such hand-wash facilities shall provide as a minimum –
(1) sufficient quantity of water at a suitable temperature
(2) liquid soap
(3) single use towels or suitably designed and located air driers
(4) water taps with hand-free operation
(5) advisory signs to prompt hand-washing.
4.8.7
Toilets shall be adequately segregated and shall not open directly into production, packing and storage areas. Toilets shall be provided with hand-washing facilities comprising:
(1) basins with soap and water at a suitable temperature
(2) adequate hand-drying facilities
(3)advisory signs to prompt hand-washing.
Where hand-washing facilities within toilet facilities are the only facilities provided before re-entering production, the requirements of 4.8.6 shall apply and signs shall be in place to direct people to hand-wash facilities before entering production.
It appears to me that the only (non-icky
) contender for a shared (hand/utensil) usage might be 4.8.6 , and specifically for “within”
IMO, Note (5) appears (by “omission”) to exclude a shared function of the type under discussion (and implicitly to also exclude utensil-cleaning in the "process" arena altogether).
One (production) hygiene comment I found to justify not implementing shared handwash/X sinks is here –
handwashing.png 84.87KB
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Not exactly definitive but not implausible IMO.
I could not find any examples “recommending” shared options however the previous attachment implies that their occurrence is nonetheless “frequent” as you originally intimated.
Icky or otherwise, approved or not, such is life in the fast lane I suppose. 
Rgds / Charles