But I tend to feel some splinters on my teeth and gum after using it. I'm also afraid that I will swallow the splinters without noticeAsSalaamu 3alaykum,
I just think..just use the miswaak itself and use it...toothpaste miswak doesn't compare to the actual thing! Keep it close to the sunnah as much as possible, though I'm not saying there's anything wrong with using that toothpaste miswaak.