You’re right that you can, my point is it is harder. The answer is a bit complicated.
Part of the answer is in the physical process of rain and snow formation and how fast they fall.
Rain forms through liquid droplets coalescing in the atmosphere creating larger and heavier droplets that can fall quicker under the force of gravity
Snowflakes form when water vapor turns directly into ice crystals.
Snowflakes form at a slower rate than rain droplets and obviously the structure is different with air pockets within the snow flake causing them to be lighter than rain drops.
Thus,
Rain can physically fall at a faster rate than snow and rain forms at a faster rate.
This explains it better.
https://geo.libretexts.org/Bookshelves/Geography_(Physical)/The_Physical_Environment_(Ritter)/07%3A_Atmospheric_Moisture/7.04%3A_Clouds_and_Precipitation/7.4.03%3A_Precipitation_Process
Bergeron Process vs Warm-Rain Process
Now assuming that one is dealing with the Bergeron Process for areas that get rain and areas that get snow, rain will still fall at a faster rate due to structure differences between a snow flake vs rain drop.