But, depending on the person, I will engage in texting as well as communicate via facebook messenger.

Both should be used as a means to communicate, but not the sole means. Personally, I prefer to talk on the phone which leads to in person interaction.

As far as your situation that you shared with another poster,it seems to me that dude is playing games and/or is not into you enough to set up a date, hang out session or whatever you would call it. Otherwise, he would respond via text or better yet call you to confirm an outing with you.

If I was you, I would not bother unless he wants and acts upon setting up an in person outing with you.