Triple-offset design usually also means a metal-to-metal, torque seating mechanism with the relevant advantages (more mechanical and chemical resistance, wider temperature range, etc.) and mainly just one disadvantage, i.e. a higher cost...
Triple-offset, metal seated valves may be used in many processes of oil & gas, chemical, power generation, pulp and paper and other industries (where "piggability" is not a must, of course), including replacement of existing ball or gate valves, for both control and on/off sevices (with the proper actuation)... but in the last years, with the growth of LNG business, they also found more and more success in cryogenic applications.