How important is it to making sure all workers are covered by workers comp?

It is extremely important to verify that your contractor carries not only workmenscomp but also general / public liability insurance. If he or she does not then you could be held liable for any injuries and damage that would take place on your property. This is also true for licensed and insured contractors that employ subs. If the subs do not possess the proper insurances then they to would be responsible for any accidents or damages caused by said subs