From casual review, it appears that the greatest risk for fire in households remains: cooking equipment, heating equipment, smoking, and inadequate electrical wiring (extensions cords, overdrawn circuits, etc.).
This leaves off other majors like kids with matches, candles, flammable liquids, etc.
Note: This is not to say that LiIon batteries are safe and beyond reproach. The Toronto fire service had 29 battery-related fires in 2022, up from 11 in 2021. This compares vs. 254 "cooking equipment" fires, 158 "open flames / smokers" fires, and 77 "electrical distribution" fires (2019 figures). This suggests lithium ion batteries are a source of domestic fires, but not a major one (~2% of causes).