For not just a king of that era, a king with a fairly shaky claim to the throne, it defies all political logic. It defies everything we know about Henry VII's judgement and character. It defies the established conventions of the era, when it was usually bastard sons or those way down the pecking order who were shunted into the church, such as Cardinal Beaufort, who was himself a rarity. It's illiterate of the fact that education had become fashionable amongst the nobility in the 15th century, and therefore there was nothing especially exceptional about Henry VIII's good education, it was simply a by-product of the times.
There is literally no good reason for supposing Henry VIII was destined for a church career.