This presumes you can elect to either just spend the 100k now, that you may not have.
If you declare you want 100k, but let’s say that would take you 10 years (and the goalposts wil move). That’s likely 120 months of rent you will have to pay, so while you’ll end up saving on interest, you’ll more than lose out on rent.
Paying down aggressively and going with as big a down payment as you can reasonably afford makes sense. However waiting to save up for that downpayment may cost more in rental expenses than you’d save.
Generally speaking, one would have hoped for a better solution. To be fair though, we faced an unprecedented scenario in 2020, and for many of the indicators, the closest to precedent that we ever had was the Great Depression. So they did manage to dump truck enough money into the market to patch up the catastrophic drop of the stock market, and provide enough to keep the every day economy vaguely functional. Unfortunately the ‘fix’ was still very ‘trickle down’ style and ended up with an enduring imbalance favoring those already wealthy rather than some alternative that might have left folks on a level playing field.