tldr: yes it works; brita filters don't filter out alcohol and do filter out particulates.
set one filter aside in the fridge for your booze of choice, put it in the pitcher when it's time, filter your booze a few times, put the booze filter back in the fridge and use your high quality liquor for whatever you want.
this came about while I was in China because their 白酒, rice liquor, was the worst spirit I had ever tasted.
I have tasted a $5,000 bottle and a $5 bottle of 白酒 and the difference is negligible, both hovering around "wastewater" level.
I remember hearing about this lifehack and so I gave it a try with the Chinese rice liquor and after filtering it one time I could drink it like any medium shelf liquor, whereas before the filtering it literally smelled like rubbing alcohol and I'd want to immediately vomit taking a shot.
so I started testing other alcohols and doing blind taste tests with friends, and literally every single time, and I did a couple dozen blind taste tests, people voted the filtered liquor tasted better.
i started filtering vodkas and gins a lot for my own drinks or parties.
it works with any alcohol since brita filters don't filter out alcohol.
My filters lasted for months, I kept them bagged in the fridge until I filtered a new bottle, poured the vodka through the filter half a dozen times and then put the vodka filter back in the fridge.
It's a simple, easy way to get high quality vodka or gin for mixers and a great way to get any shitty alcohol tasting much better.