I can think of two reasons that it may not be as good as a nighttime filter for nebula. One is the transmission of a h-alpha solar filter is theoretically between 5% and 85% of the H-alpha line. I have not measured any but I would be surprised if any were over 50%. Although if money were no object one could be designed.
Also, even fast moving solar materials are blue shifted out of the narrow passband so if there is any significant relative motion it could easily be blue or red shifted from view. A spec quoted for solar viewing is you will find h-alpha detail 2A from center in the blue and .5 from center in the red.
I could be totally wrong about this, but when I got my "nebula filter" from Lumicon, 15 years ago or so, the idea was it removed the lines caused by streetlights leaving some important emission lines. I think OIII and H-alpha were among them. And with my filter I have noticed no benefit when in a dark sky location however in my backyard in the middle of a small city I find a large benefit.
Now I have read of astronomers using monochromators to study important aspects of distant objects. Many of these monochromators are etalon based so it could be that there is a good use for a h-alpha filter if you had a very large amount of aperture.