Agreed, a fixed percentage withdrawal rate isn't really the same thing as the safe withdrawal rates we usually talk about on retirement forums. That said, it is an option. For example, higher education endowments are usually drawn down at 5% per year. A fixed withdrawal rate literally can't run out of money since a percentage less than 100% of a number is always less than the number, so the problem is that the withdrawal can be highly variable and could fall below an amount you can live on.
The suggestion of using a moving average would help stabilize things somewhat since when markets are trending upward the previous lower years would keep the withdrawal down and when markets are trending downwards the previous higher years would keep the withdrawal up, but you'd still have years when the amount you can spend is lower than previous years. Since our expenses are generally what they are and people prefer progress to going back this chance of a reduced withdrawal could be painful. This is why the withdrawal rate's we usually discuss are based on the initial portfolio value plus inflation in following years. This does mean we need to start with a lower fixed+inflation withdrawal amount than we would a fixed percentage because we need to account for down years somehow.