Hi,
Yes, a big downside. In a greyscale image you have the brightness information about the color. In a color image you have the brightness and the color information about the gradient. Please consider that the most important when you try to correct residual gradients is not the tool you're working with but to learn to analyze the gradients. It is very important to carefully learn and have practice looking at the gradients of your image in order to correct them as well as possible. If you correct the gradients separately, you're analyzing only part of the properties of the gradient and it will almost never be efficiently corrected; you'll probably need then to join the RGB channels and further correct the residual gradients.
Take into account that this can be very difficult in some images where you have very dim and diffuse nebulae, and even dangerous since you can be introducing color variations that came from placing the samples in the wrong place; think that, in those cases, sometimes you have more information about the nebulae in the color than in the brightness component.
There can be few exceptions, that are not the general rule. For instance, a well defined gradient in a single channel in a completely red nebula where almost all the extended object is red and it's very faint and precisely located in the green. It can work then. But it's not the usual case, and it's not the way to learn gradient correction techniques. I can say that, after teaching to correct hundreds of images from the students in my workshops, I have only needed to split the channels 2 - 3 times.
On the other hand, I always advise to correct the gradients before the background neutralization process. This way, you have a flat background and, after running DBE, you can safely place a good reference preview in your picture. It doesn't matter if the sky background levels are very different in each channel since the statistics are calculated separately for each color channel.
Please, don't put my words on stone. I'm trying to communicate here that, as a starting point, it's much better to work with the color image (it could be useful to visualize the separate color channels as well from the Channel Selector). You'll find a good solution without needing to split the color channels in 95% of the cases. Then, analyze your result and analyze your problem; you could need to split the channels, as I did those 2-3 times!
I think that user in the other forum came to one of my workshops since he was giving exactly the recommendations I usually give in my workshops.
Best regards,
Vicent.