Roy, on the plus side, they aren't flammable like some solvent based adhesives, their VOC content is lower and they aren't as noxious smelling. On the negative side, they don't dry as fast, and temp./humidity have a greater affect on drying time. Also if they freeze (in the can) they are done for. Pretty minor negatives on the whole.
Performance wise they are about the same, with the exception that is you are applying laminate over laminate, a solvent based adhesive is necessary.