When compiling HOO images from data collected with an OSC and my Optolong L-eXtreme filter I noticed that very often a lot of the Ha signal is repeated in the OIII image (taken by splitting the color channels and assuming red being Ha and green being OIII). I used to think that this is just the nature of things as many regions are emitting Ha and OIII at the same time. However, recently I have growing doubts if this really is the full story. Here is some data I shot on SH2-129/OU4 the "Flying Bat and the Blue Squid". There are many great images of this object here on AB showing the red outer (bat) nebula and with good contrast the blue inner nebula OU4 (the squid).
Red channel (Ha):

Green channel (OIII ???):

My green channel is showing the squid all right, but it is showing a lot of the bat in high intensity as well. The individual OIII data I have seen from others seems to mostly show the squid without the bat. So what is going on here? Is the filter curve not exactly as advertised and e.g. including some H_beta? Is it normal and e.g. a more narrow filter is required to bring out OU4 individually? Something else going wrong/ I am missing? The follow on question may be - how to best mitigate this? I have tried to subtract the Ha signal or use it as a mask to reduce those parts. Apparently this helps, but is still far from perfect
Red channel (Ha):

Green channel (OIII ???):

My green channel is showing the squid all right, but it is showing a lot of the bat in high intensity as well. The individual OIII data I have seen from others seems to mostly show the squid without the bat. So what is going on here? Is the filter curve not exactly as advertised and e.g. including some H_beta? Is it normal and e.g. a more narrow filter is required to bring out OU4 individually? Something else going wrong/ I am missing? The follow on question may be - how to best mitigate this? I have tried to subtract the Ha signal or use it as a mask to reduce those parts. Apparently this helps, but is still far from perfect