The question is: "Is an analytical person willing to pay the price of not being able to have certain social interactions that the can't have if their analytical filter is on all the time?"
You can make the case that math is more important and that it's vital to be able to learn to think numerical in high stakes situation. Vital enough that you are willing to pay the price.
I don't have a problem with a person making an informant choice to do so. On the other hand I think few people make that choice in an informant way.
It's nearly impossible for me to have a well intimate well flowing Bachata or Salsa dance when I'm in analytical mode. It's not compatible.
Are there instances where I spend a few days in my head and then when I'm going dancing I don't succeed to leave analytical mode? Yes, there are. Are there times when the trade off is worth it? Yes, there are but there a price to be payed.
But let's say you want to become an academic psychologist who is really good at understanding humans body language. You don't care about social outcomes but only care about knowledge. Is it beneficial to be 100% of the time in analytical mode? I don't think so. You don't perceive enough information that way because you likely only operate on what you visually perceive.
In theory you can perceive another persons heart rate by seeing how their skin changes color. There are video based computer solutions that do that. I don't know anyone who can bootstrap that analytically but I do know people who asked me: "Your heart rate seems high. What's up?"
It's not that those people don't do any analysis, analysis has it's place. But it's not effective to have it always on.
How do you control what "mode" your brain is in?
I've -noticed- that my brain has modes, I noticed it when I was a teenager, but have been completely unsuccessful in finding any kind of internal levers to shift modes. (That's not entirely true - spending time around people who are in the mode I want to be in will put me in that mode. But that's -extremely- difficult to do, and it works in the reverse, as well - spending time around people in the wrong mode can pull me out of the mode I want to be in.)
If you have a crush on someone you usually want to find out if they have one on you too. In my opinion outright asking them is often not a good solution, because if they don't have a crush on you yet it decreases the chance of this ever happening if they know you have one. This believe is based on what I read about love psychology. Hovever I don't really want to discuss the option of outright asking them in this thread, therefore I have not elaborated further how I got to this believe.
The alternative to asking them is trying to interpret signals that they might give you. However to know how many signals you need before you should believe that they are in love with you, you would need the prior. I have not been able to find anything about the prior of someone being in love with you. Therefore my Idea is to do a survey in order to find out how likely it is that a person you know has a crush on you. The plan is to ask the person taking the survey how many people they know well enough to possibly have a crush on them and how many people they actually have a crush on.
I have created a Survey for this and would be really happy if you would participate.
The next stepp would be to discuss how certain signals a person can give you raise the probability of them having a crush on you. That part is quite difficult. I think probably the best way would be to check how your friends react to certain situations and what body language they show you and then, if you find out someone has a crush on you, to look up what he did differently from people who are merely your friends. I am currently not in a good position to do this experiment but if someone wants to try or has results about this to share please do so. However I think this part is less important than finding the prior, because most people have at least a general idea about what certain signals mean from personal experience while at least I have no idea at all what the prior might be.