Extrasensory Perception is a 6th sense. Something like being able to detect energy, or some other characteristic of a character, like their fear or whatnot.
No, the page is just bad. Extrasensory Perception are any senses/perceptions beyond what can logically be sensed, hence the name, and hence all the vast uses Clairvyance has is done via Extrasensory Perception, as the former page points out by going against what the latter page claims. The even bigger Cosmic Awareness claims it to be associated with Clairvyance and Enhanced Senses.
And this isn't a profile for a random robot that can detect anomalies, it's for Sans who has presumably found a way to track anomalies, or at least has access to reports which show this. Saying that Sans should have Extrasensory Perception via preparation due to research he has done in the past is like saying every character who possesses a magnifying glass or a telescope should have Enhanced Senses via prep.
Cheap thing to say, if a human could look as good as they could with a magnifying glass or a telescope then yes, they should have Enhanced Senses. A normal human having Enhanced Senses via prep is therefore correct, but too redundant to matter and for us to list. Detect an anomaly (singular btw) is a big deal that should be listed.
It's not. I'm not saying it's some everyday occurrence, mind, but in Undertale that's supposedly possible to figure out simply through research and science. It's an intelligence feat perhaps, but it's not a superpower.
"In Undertale that's supposedly possible to figure out simply through research and science" isn't a fact, in any setting it inpartially means the same from Real Life to way more craxy verses where the feat's not very notable.
The rest does matter, it gives us an idea of what Sans would do in-character, which is the way that requires the least effort.
The rest does not matter, you are assuming that because he often doesn't put much effect then in this case he must also do the same, but this is not those other cases, those other cases don't built up any consistency of everything he does that should aply to other things we know about him as those other things exist and should be judged on their own, you don't know if he didn't put effort and it's entirely possible for him to have put some more effort. This guy whose lazy was also implied to have knowledge in science and knows about an anomaly in the timeline via some reports, therefore there are times he isn't lazy, therefore making look illogical that he always no put any effort into anything he does that we don't know the context of. Those things that would need some effort in turn have to do with science, and he doesn't show Air Manip on his own, let alone to make air move in a way and have that being self-sustained, so it would make perfect sense that he could have put some scientific effort into the tornado, even as small as to already having the means to create it and doing so. Or he could have created it with another monster while chilling in his room. Or the tornado could have been created over time, while maybe or maybe not the process that makes it so needs little effort to be done.
We don't know, claiming what's more likely within what we don't know is speculation.
"Creating the tornado somewhere else" doesn't reduce the number of assumptions - the question is still how he created the tornado, but also raises the question of how he moved the tornado, which could also be explained by air manip potentially.
He teleported it because moving is for people who isn't lazy and that's within what he can do, we don't know. Him having Air Manip likewise raises the questions of how he has that power, why does he have that power when he already shows others and monsters don't have that many, why he never uses it, does his brother have it? All as irrelevant as to how he created the tornado if he did so somewhere else and how he moved it, and answered by the same; "he can do that/has it and it doesn't matter". If we don't need to know how he has the power then why would we need to know how he created the tornado if he did so somewhere else? They're both made up.
A device being small doesn't make it more or less complex - the computers of today are far more complex than the computers we had decades ago, yet are also far smaller. And yeah, he maybe could have had a handy tornado-maker-3000 lying around, but bringing up differently worded assumptions of the tornado being created by technology ultimately doesn't change the arguments.
He could have brought a TV remove-size thing, pushed a button and that's it. That's pretty low effort, but again it doesn't
need to be low effort.
At best that would be info analysis via prep time and whatever thing reported it to him
Sure, it's the same. I would imagine that given the DT stuff monsters messed with the ability to detect that cosmic thing could be related to DT users' ability to feel things like Asriel. But Info Analysis is pretty much the same power but more specific, and more used machines wise.