The answer, in my opinion and experience, is that it depends on the seeing. My 130mm Apo will often put up higher contrast views than my 10" reflector because seeing and thermal issues are real challenges for larger apertures.
The color saturation will always be better in the 10" but the seeing will have to be pretty good for you to see better contrast.
On the other side of the coin, the 7" will likely never acheive the contrast that the 1" will on perfect nights, so the question is how good your average seeing. If it is routinely in the < .1 arc second, the 10" is going to be a better scope.
Frankly though, I have owned very large Apos (7") and they are just a huge amount of effort. You need a very tall mount or you will be uncomfortable when you give near zenith. and this is the most important thing to know about this: When you use a binoviewer, you are extremely restrained in the way you can place you head to access two exit pupils. Even if a single eyepiece is rather close to the ground, you can usually get one eye over the exit pupil, but with a binoviewer, it becomes extremely awkward unless your binoviewer is maybe 3.5 feet or 4 feet above the ground. This means that the telescope has to be waay up in the air to allow comfortable access to the exit pupils. When the telecope is way up in the air, you can see at zenith in comfort, but when you want to look low into the sky, you have to stand.
A 10" by comparison, where the binoviewer above the optical axis, allows you to view close to the horizon and near zenith in good comfort.
I got so tired of setting up the large Apos that as much as I loved them, I rarely used them. I don't have any anymore, but I do have a 10" reflector, but my most used planetary scope is a 130mm Apo. On most nights, I can get really great planetary views, where as most nights, where I live, my 10" is simply to affected by seeing.
The 10" has the potential to give a better result, but the percentage of time you would see the improvement is small. The convenience and comfort of the 10" in a dob configuration is far better and that is every night.