It’s not a conflict. What I’m trying to say is that what people hear when you say you want to “evaluate the middle option” is entirely dependent upon the options presented in the argument, which is why the caricature is so common.
Ok, but let’s realize that you’re not necessarily the one who’s defining the spectrum of options; or put another way, there’s not an objective spectrum of options.
For instance, in the case of Israel and Gaza, you could define the leftmost bracket as “give Israel to the Palestinians” or “the second-state solution” or just “a cease-fire,” and likewise the rightmost bracket could be “let Israel keep the war going but let civilians out through Egypt” through “Israeli settlement of Gaza” all the way up to “glass Gaza.” Depending on who’s talking, and how extreme each person is in the discussion, the most humane solution might not be in the middle at all.
It does passable baked potatoes too, but if you microwave it for about half the time and then toss it in some oil, kosher salt, and pepper and put it in a hot oven, you get great baked potatoes in far less time than in the oven alone. You’re basically boiling the middle and baking the outside. Great combo.