When a member server is joined to one domain in a forest, should members of other-dom\domain admins be Administrators

[Richard Sharpe]

Hi,

When a member server, say SRV1 joins DOM1.someforest.local, should a
member of OTHERDOM.DOM1.someforest.local also have membership of
BUILTIN\Administrators on the  member server?

-- 
Regards,
Richard Sharpe
(何以解憂？唯有杜康。--曹操)