HF can be used on CNC, but keeping the noise out of the digital control is a lot harder. Most home built units lack the shielding and filtering to work well with HF. 60 amps is 60 amps, and you should not plan on running a CNC at severance cut thickness. The max normal cut is rated about the same for those two machines. The hand torch is actually rated for slightly thicker material for a severance cut. This makes sense as you can make on the fly changes to torch angle and travel speed based on what is happening. Just because it will cut, does not mean it will cut good or repeatable, once you approach the limits of the machine. Depending on where you look on the site you will actually find different specs for those same two machines. The 60S has had some recent updates, but I have not seen any announcement of a new version of the 60C. It may or may not have been included in the last round of updates. Your best bet is to call for the most current specs on both machines, and the differences between them. The website seems to be the last place that gets updated, and I suspect that there is quite a bit of stuff that they just expected to be up on the new site that is not ready, yet.
Long arc, short arc, heliarc and in-the-dark!