I try, buy and build quite a lot of bikes (6 this year). Reach has never been very helpful for me. Seat tube angles differ quite a lot and the position of the bottom bracket on the x axis does not affect me that much. Effective top tube and stack is what I look for.
Being a long legged person, standover has never been an issue. I can straddle most any bike. Stack is important because that gives me a hint if I can get the saddle and handlebars on the same height without crazy stem solutions. I ride bikes from the horizontal top tube era that favor the "fistful of seatpost" rule, so C-T seat tube length is also very important to me (for purely aesthetic reasons.)
Most vendors these days seem to do Small/Medium/Large (etc) sizing, rather than seat tube measurement. It isn't portable across bikes, but neither would seat-tube length be.
I disagree that standover height has much relationship to fit. There is some practical aspect, especially for newer riders. But you can have a very high standover with a high bottom bracket with similar fit to a lower standover with lower bottom bracket.
It’s really silly that seat tube length is used as the single measure of frame size. Much more important is reach and standover height, since those can’t easily be changed. A longer or shorter stem will adjust reach at the expense of changing how responsive the steering is, whereas a short seat tube can be fixed with a longer seat post. Seat tube length is also measured differently by different manufacturers — sometimes it’s center to center (of the tubes), sometimes center to top, etc. Seat tube length is convenient but it’s not what people should focus on when trying to find a bike that fits.