it isn't so much bucketizing that works as it is the fact you are pulling spending cash early on from other places other than your stocks.
if you read the latest study by michael kitces and dr pfau jointly they found anything that lets your stocks grow longer without being liquidated increase your allocation to stocks as the stocks grow and the other money becomes less as it is spent down.
Having a significant "money bucket" is really just pre-selling stocks. It's not that you are "pulling spending cash from other places than your stocks", it's that you've pulled out (or never put in) money from stocks in order to have it in that other place.
One way you have $25K in cash bucket and $75K in stock bucket. The other way you have $100K in stock bucket. One way you have $75K growing, the other way you have $100K growing.