Morten,
If the double block and bleed is a function of the emergency shutdown, then I would see no problems but I don't think that is what you are asking.
If you are wanting to use the ESDV for something other than the emergency event for which it is intended, then it would seem that you would have to defeat or bypass the control logic provided to control the valve. This opens the door for potential problems. Such safety logic would typically have a high level of supervisory control so that not just anyone could do that without proper authority. This would seem to make using it as a DBB for more "routine" operations quite burdensome and rightly so.
Are your safety systems following the newer Safety Integrity Level (SIL) guidelines? I'm only vaguely familiar with these guidelines but I wonder if what you propose would have an impact on the SIL determination for the ESD system. Maybe that could answer your question.
In some cases, I've seen that the desired SIL can be achieved by activating a normal process control valve along with an independent, designated ESDV. I mention this only because I've seen normal process control valves used as part of an ESD system but can't recall knowing an ESDV being used for "routine" operations.
Of course this is only opinion and I'm not an instrument engineer but I've had to review quite a few safety systems during HAZOPs. Also, I don't know the details of your particular system, but unless there was good argument otherwise, I think I would avoid it.