The reason is that sodium fluoride which exists in toothpastes is associated with testicular and hormonal dysfunction in males - refer to PMID 30165274.
Also, if you buy the RO water in plastic, that's risking avoidable microplastics. I use glass and steel bottles.
Good. There is absolutely no reason this should be in water.
On the other hand, I now developed sensitivity in a tooth that is going to be a challenge to fix. This is despite me using fluoride toothpaste twice daily. Acidic foods can do more damage to teeth when there isn't fluoride in the drinking water. As a result, the saliva also lacks fluoride, and cannot protect the teeth so well anymore. It was my mistake for consuming an acidic food. I now have to see if expensive nano-hydroxyapatite toothpaste can fix the sensitivity.
Toothaches are indeed also caused by headaches, oral infections, and sinus infections/allergies/irritation. Sometimes it's sinus related and sometimes it isn't. These have nothing to do with tooth sensitivity.