You can do that. Or you can create a file with a Tomcat Context in it and place it in TOMCAT_HOME/conf/Catalina/localhost. Since there can be multiple contexts in there, obviously they can't all be named "context.xm", but any file with an ".xml" suffix will be scanned by Tomcat and the name of the file doesn't have to match the context. Although it makes life easier if they do match.
Science is the process of replacing what we "know" with what is TRUE. Politics, alas, often prefers to be the opposite.