Wait, hear me out on this!
I was watching Xavier play in one of his many baby contraptions and I started to think, "you know, this thing looks like a teeny tiny TARDIS." It has lots of lights and funny shapes just like the console of The Doctor's TARDIS, and Xavier's always happy when he's throwing the thing around. Also, his nickname when he was born was "The Professor", which has an eerie similarity.
This is a picture of one of the control panels in The Doctor's TARDIS:
Now look at some pictures of some of Xavier's toys.
Looks a lot like a control console, doesn't it? No? Well look at the lights on the thing!
Those are some funky shaped lights! I haven't seen lights that look like that outside of the TARDIS! His toys have funky control knobs, too!
He even has tools hanging off the console that he can use to hit it when the TARDIS misbehaves!
I agree, that might all just be my imagination. But look what I found in his toy box while he was taking his afternoon nap today!
Honestly, where the hell would he even get one of those!
I don't know. Maybe I'm imagining the whole thing. I mean, my son couldn't possibly be related to what the Dalek's call "The Oncoming Storm." Right?