With these being a class feature, I want to lean towards no it will not.

Tome lock does however offer the advantages of adding three cantrips, from any class at that, to the three you would have.

As for hexblade, having a melee weapon, or ranged with some invocation if I remember correctly, you essentially have a free weapon that does not weigh you down or limit your choices much.

The end goal for the limitations was to make it so it was a bit more challenging.

With all that in mind I'm going to have to think on it some more. I'll have a decision by tomorrow, Friday the latest.