Unless what you are interested in is something other than the sides of the debate, in which case, you may be neutral to the sides of the debate
And to repeat, "Ah, I see, you're thinking of some kind of high-school debate format..." Which is nice and all, but not terrifically helpful. Debates and arguments in the real world aren't so easily broken down into two sides. Like if I said, "Let's debate the following idea: America should go to war with other countries. Either you're in favor of this idea, meaning you want America to always go to war with all countries, or you're against, and believe that America should never go to war with any other country under any circumstances." That's a great little nice dumb false dichotomy.
Now you probably don't agree with either side, but you probably also aren't actually neutral. You have an opinion. You have a position. If opinion doesn't fall neatly into the false dichotomy as presented, that doesn't mean you're neutral.
I think what's unimaginative is, you seem to think that opinions fall on a neat, nice little spectrum, and being "neutral" is falling dead in the center between two endpoints on the spectrum. The reality is that, if you're involved in the debate and you care about the income, then you've got something at stake. All kinds of people have different things at stake. Not everyone in favor of net neutrality have the same interests, and neither do all those who oppose it. People will be in-favor or against for different reasons and to different degrees, with different degrees of passion. There will be those who are undecided, or people who are in favor of some other solution, some "middle road" solution. They may be passionately in favor of a "middle road solution", or even passionately "undecided", feeling that there are just too many complex factors to make a real decision right now. Those passionate positions are not "neutral".
What's more, you could be arguing in favor or against, not because you genuinely believe in either side, but because you want to sound smart, or because you have some other agenda you're interested in pushing. Those people aren't neutral, but the people who refuse to alignment themselves with one side or the other, for those same reasons, are equally not-neutral. They've taken position in the argument, and may be just as hard to sway from their position.
If it helps, how about a metaphor: Each of the two "sides" of the argument are like a team playing tug-of-war. One side pulls in one direction, one side pulls in another. You're saying that their are "neutral" people in between, because they're sitting in the middle, holding onto the rope, but not pulling in either direction. My point is, if they're holding on tightly, then they're not neutral. They're still having an effect on the game by adding inertia to the system, making it harder for either side to win. The only way to be truly neutral would be to let go of the rope.