You can rely on Windows in this case.
As a test you could try one of your SQL 2000 instances right now. Wikiepdia tells me that the current DST scheme in the US went in force in 2007, after the release of SP4. When SQL 2000 was released, March 16th was in Standard Time, now it is Daylight Savings.
Over here, the European Parliament adopted a bill to abolish the change between standard and DST several years ago, and it was up to each country to decide which time zone to be in. However, pandemic and other things has come in between, so nothing has changed. Which I'm personally grateful for.