I ran a few scenarios on a $450k house with 20% down, in general you'll pay off the house in 16-17 years depending on the exact interest rates. But you're looking at about 1.5 years of extra payments.
The biggest thing with the 15yr is that it forces discipline. I know guys at my lvl12 Z that bought their houses years ago and still have no equity because it was "free money" to keep refinancing to new 30 year notes taking equity of the house and splurging on vacations, housing "upgrades" (e.g. $120k kitchen makeovers, additions, in ground pools), boats/RVs, etc. Well now that has come to a grinding halt, and they are stuck with high food and gas prices, sky-high insurance rates, soaring utility prices, crazy high IL property taxes, and still have 28 years of housing payments to look forward to with their kids approaching college.
People saying that the cash can be "deployed more productively" instead of towards a mortgage, get real LOL. Sure if people put the money in the SP500 or buy a rental property they will likely (but not 100%) come out ahead over 15-30 years. But very few people think that way, so it's irrelevant. This is why so many are broke af despite being high earners. Their best option would've been to pay off their houses ASAP - it's a totally risk-free guaranteed "return" even if it's a bit underwhelming and not sexy.