Yeah, I saw that part later and added a bit.
Most hatchlings don't leave the lair or the supervision of their parents until they set out on their Molt journey. So they're thoroughly indoctrinated. Remember that they don't even have individual names at this point--their society pushes them toward the Molt pretty heavily. But I guess such a thing could happen.
I'd still bet that the parents would consider them aberrant and cast-out or kill them as soon as it became apparent that they weren't heading toward their Molt.
As far as wizardry, my setting sees things a bit differently (departing from the "stock" lore pretty heavily here). No matter how much you learn, not everyone (even smart ones) may not be able to actually cast spells (ie spend spell slots). And even those that can often cap out early--99% of people who can cast spells cap at about 2nd level spells, no matter how hard they try and learn. That is, spell-casting requires an innate talent and experience. Even for wizards or clerics. It's why most priests are not clerics--they get miracles sometimes when they pray but can't really reallocate their spells like a PC could.
Dragons descend from Wyrm, who wielded True Sorcery (basically will-and-word-based elemental magic, a la Skyrim). Wizardry is an elvish invention (due to a root intervention on the basic framework of reality) that mixed Titan runes and Wyrm sorcery and in doing so diminished both of them and broke those races. So dragons that learn human magic systems really act more like sorcerers--their spell patterns are inherent in their nature rather than learned intellectually. And that capacity doesn't develop until they grow in power (which requires Molting) anyway.
Maturation and growth in power is locked behind the Molts. And that's part of the soul--the Molt is triggered when the hatchling's soul hits its "full" capacity (like a snake shedding its skin when it outgrows it).
So a "unmolted" hatchling would be a stunted thing--forever unable (barring outside intervention) to grow beyond its current state. It would be a hatchling forever, forever unable to become anything else.