In my own experience, I've been issued with an SIC on a Falcon 200, and Lears 31 and 60 following the required training by ATPs who held the rating and neither of whom were CFIs. The types were then added to my ATP certificate by FSDOs in the USA. Unless things have changed and we haven't been informed (and the FAA rarely makes an unnecessary change, unlike the fannies who run Eurpoean aviation) then that system still prevails.