From this standpoint (solo dev & marketing) I have a question; Would it make sense to make a twitter channel around a product for marketing purposes and direct

From this standpoint (solo dev & marketing) I have a question; Would it make sense to make a twitter channel around a product for marketing purposes and direct traffic to it or rather to my personal one? I have almost no following at the moment, so they would both effectively be equivalent (be starting from scratch). In one way I can see the benefit in building an audience for other products in the future, but it still feels a bit odd to me.