Online, there is little chance that you'll establish a new relationship and build equity with other users. You've got hundreds or thousands of followers, so do they and in many cases, the person you respond to may never see your reply, let alone remember your username for more than a few minutes.
These exchanges can be so fleeting because you're both typically anonymous. Anonymity is antithetical to trust and trust is required for equity. There is little that an anonymous person can do for you, and little you could do for them.
Contrast Twitter and LinkedIn. Both have feeds and allow messaging and conversations. But since you know the people you're interacting with on LinkedIn, many times personally, you are civil, helpful and courteous because one day they may actually be able to do something to benefit you. You invest in them and building equity in your relationship in expectation that if there is something you can do for them, or they can do for you in the future, it's there to leverage.
Twitter just feels like, I dunno, looking for love in all the wrong places?
People have a multitude of purposes for engaging online anonymously. Learning or trolling, ego support or battling boredom, maybe a better solution would be to target those purposes as independent platforms and structure the dialog to support the purpose.