To me, Hand Made simply means that the pipe (as mentioned by others) was at some point being touched by hand during the process. Even with most machines, your hands are still at play in working the machine or what is being created by the machine. And fitting stem, adornments, etc, onto the pipe is done using hands as well. So although much or most of the shaping was done for example on a lathe, the pipe can still be considered hand made. If a pipe were to be made entirely by a machine... materials all added to the machine, a button pushed, and out pops a pipe, then "Hand Made" can no longer apply.
Pipes shaped on a sanding wheel, sanding belt, or using hand tools such as rasps and files, I consider Freehand regardless of shape. Other than the widely accepted term "Freehand" being used for the dublin-esque shaped freehands, I think any pipe made in that manner can and should be called a "freehand" as well. So a Freehand can be a dublin-esque shape, a classic billiard, or something like a blowfish or volcano.