Actually, I cannot even see a hair's breadth of difference between the Hyper-Calvinist and the FR Arminians as far as the actual application of their doctrine.
By this man's definition, the calvinists you frequently ping are hyper-calvinists. One mark mentioned above is the belief that regeneration precedes faith and repentance (or words to that effect.)
I don't think that the so-called witnessing that takes place on these threads when an occasional lurker wanders onto a thread can be proof that one is not a hyper-Calvinist, given that not witnessing is not the definition of hyper-Calvinism. (As you say, some witness just because of a command to do so.) Besides, to me, most of the so-called witnessing appears to be constant, unloving browbeating, verbal/emotional abuse, and ridicule.
The gospel is the news that God intends for everyone to avail themselves through faith of their blood-bought salvation in Jesus Christ. The awakening and convicting works are the responsibility of the Holy Spirit.
That, of course, is a Wesley-Arminian perspective.
The hyper-Calvinist view is that being "born again" takes place before one becomes a believer.