Any woodwind instrument with a reed involves placing the mouthpiece behind your front teeth and can technically speaking move your teeth… but I don’t think you need to worry about that unless you plan on playing for hours and hours at a time… The flute happens to be the only woodwind without a reed and the mouthpiece does not even touch your mouth… it is placed underneath your bottom lip.
I don’t think you should make a decision based on your teeth because the amount you will be playing will not do significant damage to your mouth.
Try listening to pieces played on both and decide based on tones and what type of music you like… not based on technicalities…