I went and looked at the website. While Elliot may make the claim, "Domitian was sometimes given the title of Nero", I can find no supporting evidence of this. Furthermore, there is nothing in any historical documents that I can find that give Domitian the title of Nero and every indication that Domitian would loath Nero. Why would he want that name? I'm not sure where Elliot got his information but it is, at best, suspect. I can't find any specific reference from Elliot. All I can find is general statements and Elliot is not unbias in his views.
I haven't read every ancient scroll-far from it. But for Elliot to say, "and in fact the original writer of the Syriac subscription have meant Domitian, not Nero" is an unsubstantiated supposition that has no supporting documentation.
But whereas Nero just killed Christians and his perceived enemies outright with beheadings ..., Domitian was famous for sending them into exile. Thus John instead of being beheaded was exiled to Patmos --- a fate that would not have been given to him by Nero, but would have been and was given to him by the one who followed in Nero's footsteps.