Alright. Installed it.
Foreword: I'm still on Win 7/64. Previous versions of Vivado up to 2020.1 worked fine.
I know Xilinx seem to say they only support Win 10. This time, this seems to be... for sure. Vivado 2020.2 doesn't even launch on Win 7. I'm stuck. Good job!
Details: when launching Vivado, nothing seems to happen. After a while, I get a message box saying "Error when launching ......\vivado.bat: Launcher time out".
I tried Vivado TCL shell: the console spits out some errors, so I don't know how likely the command-line tools are going to work either. Not very familiar using them directly though.
If anyone here has managed to make it work in Win 7, please let me know.