Oh I'm not saying that server management isn't something that can't be done on a tablet (I even mention ssh). I'm a big fan of screen, bash, irssi, top and even use nano from time to time. Even some light editing on the server side for small incremental updates to code might be something you could do on the couch or in bed with your tablet. As a hardware device a tablet has potential to be very useful.
What I am saying is that the software for these devices, iOS and Android, are not designed for developing. And neither is the form factor. The system software I'll say again is severely crippled. They are appliances not workstations. Microsoft so far has been the only software developer that I know of that is interested in creating a full stack operating system that could be used on tablets. It might be a worthy bet that this type of hybrid system software will create a market for applications that allow creatives to develop enterprise projects on tablets.
But you are kidding yourself if you think using Android or iOS as they are today is going to provide a comparable environment to desktop software for developing. I don't propose to know what the future holds. If Windows 8 with metro turns out to be the direction both Android and iOS move to with respect to hybrid desktop/mobile software this current situation may change.
With this in mind, anyone thinking of porting Sublime Text with all of it's dependencies to crippled mobile devices as they are now is being idealistic to say the least. It's a bit like asking Jon to port Sublime Text to your new internet tv with keyboard. So yeah, I stand by my statement, if I catch someone using a tablet as a development platform I will have a hearty laugh at them.
EDIT: For the record, although the possibility for change exists, I still strongly believe both Google and Apple will not follow Microsoft in developing hybrid tablet/desktop software as generally speaking tablet consumers do not in fact care about coding or developing on their tablets.