People say don't time the market, but they also say to buy more in downturns. How does that work?

Buying more at certain times would mean you're stashing money elsewhere, waiting for opportunities. But wouldn't that be timing the market?

I DCA the same amount every month, basically everything extra I have after bills. So are you guys that DCA also putting an amount into a savings account for months/years for times like these to dump in the market? Or do you do as I do and put the same amount in no matter what?

I guess I'm confused how people buy more during dips, and where they are getting the extra money to do so. Should I be diverting a portion of funds from my investments into a separate savings account for times like this?