Yes, while individuals can differ greatly, the way we (identical types) perceive information should be similar. You may be better at discerning this than I am. I am kind of late to this party.
Both of my parents are Deltas (LSE & SLI), along with one sister (LSE). My other sister is Alpha LII (extinguishment to LIE), and for the longest time, I thought she and I were the same person, and she was just slower to develop because she was younger. All the cousins and Aunts and Uncles were Betas. It was kind of me and my sister against the rest, with my parents telling us we were wrong to think the way we do. And when you have an LSE controlling every part of your life from day one, you can get pretty bent. I think I got to be pretty good at ignoring differences between people, since admitting to myself (or especially expressing the fact) that my mother did not have my best interests at heart was not safe. It was only after marrying and divorcing a Delta that I started to wonder what the hell was wrong.
So, I have been trying to make up for lost time by studying (and actively exploring in real life) socionics a lot. But to be honest, it seems to have no fundamental underpinnings; it just seems to be a bag of (usually) accurate correlations. It may eventually be found to have analogs in brain circuitry, but that has not been proven yet. So, if it is a bag of correlations, then it will apply in most cases but not in all. That is the way I approach it.
This approach might be due to my lack of confidence in my own ability to judge the way people behave, which in turn might be due to 1D Fe and Fi, or to my upbringing, which discouraged me from making personal judgements. IDK. But I usually let people be whomever they want to be without passing judgement. I can be quick to notice some things, but accuracy comes from observing them over time and slowly building up an opinion. Quite frankly, I'm amazed that anyone was able to first come up with this socionics theory. It required both keen observation and categorical thinking.
For what it's worth, I have seen that some people here (mostly 4D Fe and Fi people) are really good at placing people into categories. And they seem to be right most of the time. Or at least convincing.
I sometimes work with an LIE female IRL, and she and I get along with each other better than we do with anyone else. There is an ease of information exchange and a sense that this other person is completely intelligent and on the same page. We both have extremely strong opinions about things we think we know something about, and I am a raging liberal and she is an incredible conservative. Our politics could not be further apart, and we still stand shoulder-to-shoulder when we work together. Identical but different. I find this fact fascinating, and proof that information processing is not the whole story of what makes a person human.