Your understanding is absolutely correct. The Utility function and the older code is no longer needed. With v6.2, the arguments to pass in contains an optional but recommended parameter t. It's the name of the time zone to convert the visitor's local time to. It defaults to "Etc/GMT", or "UTC/GMT" time. Common values are "Americas/New York" for Eastern time, "Americas/Chicago" for Central time, etc.
Example call: s.evar1 = getTimeParting ("Americas/New York");