If you take a random set of people, they will have various beliefs, and some of those will be more common than others. Calling that an ideology sems unfair. By the way, all beliefs have criticisms and yet some beliefs are more correct than others.
Also, "it's likely that some of the beliefs I hold are wrong" is already one rationalist assumption, or at least it should be. What are you adding to that?
It's not about fairness.
Being self-conscious of the peoples that one has and that one uses to operate is useful.
Operating outside of ideology is extremely hard, if not impossible. Even groups that see themselves as non-ideological, still seem to end up operating within an ideology of some sort.
Take for example Less Wrong. It seems to operate within a few assumptions:
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These assumptions are also subject to some criticisms. Here's one criticism for each of the previous points:
I could continue discussing assumptions and possible criticisms, but that would be a distraction from the core point, which is that there are advantages to having a concrete ideology that is aware of it's own limitations, as opposed to an implicit ideology that is beyond all criticism.
Self-conscious ideologies also have other advantages: