Careful with the terminology....
In the UK a FIS (FLIGHT INFORMATION SERVICE) can come from anyone qualified to provide one and that CAN BE a non-radar/procedural service.
I can get a FIS from Wycombe Tower and Cranfield - but they don't have radar. No radar, no sqwauk - therefore primary contact or 7000 on every radar screen around.
A RADAR INFORMATION or a RADAR ADVISORY must be provided by a radar-unit.