We can estimate this. US median home price right before the crash in 2007 was $240,000. Today, it is about $400,000. Median rent in 2007 was $810. Today, it is $1,698. There's some simplifying assumptions we have no choice but to make. Let's say renter's insurance is negligible enough to ignore. Meanwhile, we'll just let an online mortgage calculator assume a median $50,000 home insurance coverage payment and bake it in. We'll assume 1.1% of assessed value for property insurance, which is currently the US national average (it varies a lot state to state in reality). We'll assume an FHA loan with 4% down.

This gives us a $1,995 a month payment when we purchased and a $2,142 a month payment today, due to higher assessed value for the tax.

We can see upsides and downsides in both cases. Rent would have been quite a bit cheaper in 2007, but it has very nearly caught up by now. Meanwhile, you're probably talking about renting maybe a 2 bed/1 bath apartment, whereas the median single-family house is more like 4 beds/2 baths, with a yard. Whether or not that extra space and privacy matters to you likely depends a lot on whether you're single or have or ever plan to have a family. You could have invested into something like the S&P 500, which has historically returned about 10.5% since 1957 annually in nominal returns. Let's just kind of naively split the difference here and assume you can invest $1,000 saved on rent versus mortage a month for the first 10 years and $200 a month for the next 9. That would have gotten you somewhere around $240,000 by now. Meanwhile, you're looking at about $248,000 in home equity by now for the purchase case.

Choose different parameters if you please, but I'm not really seeing the case for renting here over the long term, and that's in spite of choosing the single worst time in the last century you could have made the purchase.

Oh I don't disagree, I hate real estate as an investment, it's a terrible asset only made "viable" by tax benefits, rent-replacement and excessive amounts of risk via leverage.