rs shawn, basically yea.
To prime it needs 12v from the ignition. To run with the engine it has to see the LT from the coil.
Usually they stop priming, but will still run the car. Its not a massive problem when they do this but can make starting from cold difficult.
This is only really on the pink relays though, why oh why Ford reverted back to the pink ones from the Series 1 relay i will never work out