Yeah I don't buy the Stoke rumours.
Some might think it's logical because his dad is a coach there, but I think it makes it less likely, you don't want to go there BECAUSE your dad is there. It would feel akward, potential favouritism (even if it doesn't exist) might creep in.
And he also just turned 18, there is no rush imo for a loan. Why not keep him in the first team, have him train with them, give him the odd cup game, dead rubber champions league game and see how the season goes.
Then next season, when he will have just turned 19, if we can't increase his game time (for whatever reason, didn't progress as we wanted etc), then we can loan him.
It's also possible after the year, his stock might go higher, and we can get a premierleague loan like Chelsea just got for Gallagher.