If anything, all season tyres will offer more traction in the cold temperatures OP is reporting.Although your previous descriptions definitely indicate a problem, 5 seconds isn’t entirely unbelievable with a dead, frozen battery and rando all-seasons.
Check the error page in Service Mode for hints.
Back when I got my M3P I did some acceleration runs at various SoCs. At the time, I had winter tyres on the car, temp was around 43F and the road was damp, so slippy conditions for most cars.
The slowest 0-60mph time I recorded all day was 5.67 secs. But that was with 10% SoC which is to be expected.
My times at 43% SoC were 3.6-3.8 secs.
My fastest was 3.33 at 78% SoC.
All times with no roll out, BTW.
OP's battery would have to be very cold to limit power that much.
CSV file will show temperatures, SoC, power etc. so we'll be able to see anything obviously wrong in there.