Earlier quoted context omitted.
No, not really. People are still readily getting loans with far less than 10%.
In competitive markets, the issue isn't getting the loan - it's getting an offer accepted. Sellers will heavily favor a cash offer, as it's faster and far more assured of going through. One strategy I've heard about people doing is to take a pile of cash, acquire the property, and then refinance it pulling out 80% of what they put in so that they can both have a mortgage and have a stronger buying position. Add in th…
I'll also add that in competitive markets you also get into a situation where it's a bidding war and you're pushing what the property might appraise for. If you're doing 3.5% down, even though you might be approved up to X, the bank may not be willing to stretch the appraisal for the property. With 10% or 20% down, that's less of a concern.
Also FWIW, for new cars, how you pay does matter. The dealer makes money on the financing, so they will give you a different cash price vs if you go with their financing. The reason being is that they want to sell you a "zero percent" loan that effectively bakes in the interest up front, so their financing will look better, but the final price will be higher.