I also go by passmark single thread generally, and 1741 to 4061 is definitely a blowout.
It'd be sooo much more responsive.
I went from an i7-8700k to an i9-12900k recently (2751 to 4210), and I was surprised how much better it is, even staying with DDR4 to save a bit of cash. Well, a lot of cash (64Gb).
I was expecting better, but it's even better than I expected. 2600k to 12700k would be a massive difference. Of course the latest and greatest 13900k is better but it's only 15% better ST than the 12900k. I do like the better power efficiency though. But at the moment, at least here in Australia, it's more expensive than the performance increase over the 12900k.
It's really nice to have instant switching between windows and tabs, and smooth scrolling everywhere. I'm more fussy than most about that kind of stuff though. Probably more fussy than you if you're still ok with a 2600k.
I also stuck with Windows 7 for way too long but eventually I got forced off because of some software that wouldn't work anymore.
If you're like me, I would investigate the LTSC releases of Windows 10. I did an in-place upgrade to an older LTSC, and then upgraded to the latest so I didn't have to do a full reinstall.
I think you would want Windows 11 if you did get a 13th-gen CPU with the improved thread scheduling though.