The fact that I was able to install 20.04 and not 22.04 from a DVD tells me there is something wrong with Ubuntu's new installer since it apparently changed after Ver. 20. Ubuntu apparently does not follow the routine, "If it ain't broke don't fix it". Their previous installer worked just fine since 2004. Why change it if it just works?!
I had the exact same problem with Xubuntu 22.10; it would not install. Whereas Xubuntu 20.04 installed just fine from a DVD. I use K3b to burn DVDs and always check the option to "Verify written data". If it ever has an error then I discard the DVD and use another one. I was trying this on my test laptop.
I do know that Ubuntu MATE has consistently dropped on Distrowatch from a high of 650 HPD-#14 in 2016 to its present 190 HPD/#58 for the last 12 months in 2022. I have also seen the overall quality of this distro as well as so many other distros drop just about every year. Sad...but true.