Dyche has always come across as a genuine, good guy, and there's no doubt in my mind he would have been key in agreeing to Dele staying on to train after the expiration of his contact if he believed it would help Dele personally.
When it comes to the squad, and In regards to him getting a contract, I don't believe for one minute he would agree to it from a sentimental perspective. If Dele is getting a new contract, it's because Dyche believes he can get value out of him on the pitch.
I despise the "peoples club" / "we do great things off the pitch" mantra that has been allowed to pull the wool over the horrendous on field club we've become, and this would fit in perfectly to that, however I believe on this occasion that if he stays it's because Dyche wants him in the squad.