"conspiracy theory" is associated with the political right because it's the left-biased media who decides what is a legitimate story and what is a baseless conspiracy.
For example, Lyin' Ted's dad possibly killing JFK is a legitimate story. Stories that have been thoroughly and publicly debunked countless times but still get the base riled up, also legitimate.
Most people don't know what "debunked" means, or how arguments "for or against this or that" actually work in theory or practice.
"Debunked" simply means, in practice, that a person made an argument against something on the basis of this or that evidence or so on, not that the argument was "valid", that there's any imperative to accept it as "valid", or that counter-arguments which are stronger couldn't or "shouldn't" be made against the prior debunkation, when in theory they can.
If this is simply a simple argument from authority fallacy, in which the source of the alleged "denunciation" is presumed to be "credible" or not, on the basis of circular logic, then it truly amazes me how misinformed the average media voyeur is about the bare basics of logic, thinking, reasoning and so on.
As an example, Snopes is just a website which makes arguments against stories it deems uncredible; it's up-front in that it backs up its conclusions with evidence or facts, however the average idiot will assume that just because snopes "said so", then it means it's "true", not taking into account other admitted evidence, arguments, or counter arguments which could easily be made against Snopes claim'.
Or another example is the "Southern Poverty Law Center", which designates groups as "hate groups" - it's just a privately owned website, unaffiliated with law or government whose opinions have no more legal validity than anyone else's - most people probably just see "Law" in the name of the website and assume it's a "legal" organization or affiliated with government, without even doing basic research or facts acquisitions. Sad if you ask me.
Perhaps another example is when people use the word "fact" or "facts" without even knowing what it means - a "fact" is just a piece of information, of which virtually infinite exist - a fact "in a vacuum" is meaningless, but in reality it can be used to argue for or against a certain conclusion, much as evidence in courts of law is.
So when people assert that "such and such a thing is fact", what they should be saying is that "such and such a thing is true, on the basis of certain facts which they're using to support that argument or assertion". (And in practice, people don't usually even do this much, such as stating that "Donald Trump is a moron" is a "fact", when it's an opinion, no matter how strongly one believes it).