ms- I am not aware of any safety system that would be affected by the action, but life is full of surprises! I suppose it depends really on why the solenoid failed to de-latch.
I rarely bothered with leg winds on the 737 FMS since as above the FMC uses actual winds The only time they are important is if you have to meet a particular 'slot' somewhere, as in the early days of Ops into Pristina when we had a target of +/-5 minutes in a 15 minute window. I guess if you are 'nervous' about fuel, having each leg wind in might re-assure you, but if an unexpectedly high headwind on a leg causes a 'Using reserve' warning, there are always the PLOG winds/Met charts to look at.