It's more likely than you might think. V and the Order are effectively high-value assets to them right now, even if most of them don't know it. The IFCC effectively has the ability to affect the outcome of any scenario they're involved in-- see Girard's Gate.
More to the point, if V were to die permanently for any reason, they'd lose the return on their investment. Even for a temporary death, without a Cleric on board, V could possibly be dead for a long time. Long enough to miss several windows of opportunity for the IFCC.
Using the short, six minute debt to protect their investment would be smart risk management. The IFCC has a vested interest in the Order's survival so that they can sabotage them down the road.
I don't think it'll happen HERE, of course-- probably sometime closer to the showdown with the HPoH-- but I've got a strong suspicion that it WILL happen in the fullness of time.