There is nothing in this solution that is unique to my situation.
Anytime a Lead with an Account Name identified is converted to a Contact, if the Account Name in the Lead matches one and only one existing Account Name in the system, when the user selects Contert Lead and then clicks Save, there will be not further confirmation check for the validity of the Account Name entered.
This is what I wanted and it does this.
If others wanted this, they have a solution that works.
If this is a feature that is wanted in the core system, then yes, it should be ready for implementation in the core.
If there is concern about having this as the defaul convert action when an Account Name is included with the Lead, then maybe add a checkbox to allow the users to decide if they want this?
I personally would always want this, but maybe others feel differently?