From the Elinchrom product page referenced by your link:
Heads or Compacts with E27 / 100W or 250W Modelling Lights cannot be used with the Glass-Dome. This is only possible when used with small Halogen lamps, same wattages, but with the GX 6.35 socket. This requires Halogen Lamp Adapter // 23101, which converts from E27 to GX 6.35."
So, yes, the E27 base modeling light must be replaced with a halogen bi-pin adapter and 6.35mm base Halogen bulb.
Is this even possible for the D-Lite or the BX Ri? I know that the adapter would fit and that 'some' halogen bulb could be mounted, but since the 196V Leuci bulbs are used at overvoltage, they are running at more then 100W. So I presume a halogen bulb of a similar rating would be rather dim.
While we're at it: Did anyone of you try the D-Lites with the adapter and a bulb with more then 100W? I'd love to have brighter modelling lights but don't want the expense or hassle of the RX line.