I have the same issue with my Logitech G502 where Left clicking or clicking in general doesn't work. Prior to upgrading to 3031. My mouse even stays on now when powered off and interestingly enough, still persists in 3003 bios and a fresh windows install.
It will work after I hit Ctrl+Alt+Del and then click cancel tho.
Lian Li 011 Dynamic White Case
Intel Core i9 Coffee lake 9900K @ 5.1GHz
ASUS STRIX Z390-E LGA 1151
Corsair DDR4 Corsair Dominator 32GB (4x8GB) 3600MHz CAS 18
EVGA nVidia RTX 3080 FTW3 ULTRA 10GB
EVGA SuperNOVA 1300 G2 PSU
1x 512GB SAMSUNG 860 PRO SSD
2x 500GB Samsung 860 EVO SSD
1x WD BLACK 2TB 7200 RPM 64MB Cache SATA Hard Drive (6.0Gb/s)