Terry,
As XL83NL noted and you already surmised, Inconel, Hastelloy, etc. are tradenames, and thus including them on drawing specifications restricts the sourcing of the material. Specific to Alloy 718, there are 5 different melt sources for this alloy in the USA alone (Special Metals, Cartech, ATI Allvac, Electralloy, Universal Stainless).