Most electrical engineers that design these laser systems know about the electrical noise the units will be subjected to, in particular, with installations in commercial buildings that are ridiculously noisy.
Therefore, I'm sure most (all?) lasers will run fine without surge protection as there would already be elements in the circuits to protect against electrical problems. To be sure, you'd have to consult the manufacturer to see if they recommend surge protection.
Re: putting it on its own circuit, sometimes you can't put anything else on that circuit if it's already maxed out. For example, if the unit already draws 19 amps and you plug it into a 20 amp circuit, having even a PC plugged into the same line will throw the breaker every time.
Having a huge breaker is also a problem. For example, if you have a 40 amp breaker and the unit draws around 19 amps, you will fry the unit before it ever triggers the breaker.
The big Epilog 36EXT laser requires a 15 amp circuit minimum, and that should work even with their 120 watt laser. There really isn't enough current to worry about since 20 amp circuits are pretty common in the home. Just watch out you don't plug too many other things into that circuit. Worse case, is you trip the breaker. As long as you don't use a 40 amp breaker (or bigger) you'll be fine.
I'm not sure if you can blame the logic board failure on unconditioned power. The job of the internal power supply is to condition the power and provide clean, and often different voltage & amps to the components.
It seems to me the board had a bad solder or component and it failed, or wasn't designed by a competent electrical engineer. Regardless, in this case conditioning (or lack of) isn't an issue. If there are any Epilog engineers reading this, I'm sure you'd agree and feel free to chime in.
Aside from huge fluctuations with environments of $300k/month power bills and using inverters or other devices that may not deliver a nice sine wave, yeah you may have problems. But in general, in America, these units aren't drawing enough power to worry about and I'm sure each of the laser manufacturers have taken poor power quality into consideration. Many of the cheap, consumer-based surge protectors & power strips with alleged surge protection aren't going to offer you any real protection and are just great marketing scams.