Earlier quoted context omitted.
Before someone comments noting that the 1st amendment only restricts government and is not binding on twitter: please note that free speech is a valuable community principle for the same reasons it is a valuable legal principle. The "marketplace of ideas" is very real and very valuable and ought not be censored. Moreover, it is very hard to consider social networks in this day and age to be acting as anything other t…
On the other hand, it's perfectly reasonable to remove some disruptive individual from a lecture (think someone repeatedly shouting the name of a soda in order to disrupt the lecture, not an invited speaker). This is the same sort of removal of ideas from the marketplace that you are talking about, it's just probably not one you want to use as a test for what you have articulated.
That said, even in the example you give it is not always considered appropriate to remove people causing disruption. Consider, for example, a conservative speaker giving a guest lecture being protested against -- often loud enough the the lecturer needs to shout to be heard by his audience, even though protesters are outside.
Here is a relevant video of Ben Shapiro giving a lecture at Penn State: https://www.youtube.com/watch?v=JLpa6fsTxCA