There are probably quite a number of software differences between the Windows 7 and Windows 10 machines.
However, as far as security software, both run the same application and both have it set disabled, run on demand.
I should note I see the recommended attempts are all with the 32bit version (which I will give a shot on the Basilisk install). I do normally only use the 64bit versions.
I am typing this on Basilisk 2018-11-06 32bit without issue on my Windows 7 machine.
I cannot say if that worked as I had not tested other 32bit builds on the Windows 7 machine but I can say the 32bit version linked here worked on a machine where the 64bit 2018-11-04 did not.
Basilisk 2018-11-04 32bit and 64bit both had issues on my Windows 7 machine.
Basilisk 2018-11-06 from basilisk-2c045d9c5.win32.zip as posted works fine on the same Windows 7 machine.