Violence in Charlottesville

[Montmorency]

Check Unconditional Presidential pardon. Your link is not about Johnson's proclamation.

It is the very same. You have not understood what the presidential pardon actually is.

[Agent Miles]

One more time:

http://www.presidency.ucsb.edu/ws/?pid=72360

"Now, therefore, be it known that I, Andrew Johnson President of the United States, by virtue of the power and authority in me vested by the Constitution and in the name of the sovereign people of the United States, do hereby proclaim and declare unconditionally and without reservation, to all and to every person who, directly or indirectly, participated in the late insurrection or rebellion a full pardon and amnesty for the offense of treason against the United States or of adhering to their enemies during the late civil war, with restoration of all rights, privileges, and immunities under the Constitution and the laws which have been made in pursuance thereof."

"unconditionally and without reservation"

"with restoration of all rights, privileges, and immunities under the Constitution"

That means without conditions. "All rights and privileges" would not mean that you're mostly still a traitor.

[Montmorency]

Conditions means on the part of the pardoner or the pardonee. It has nothing to do with the offense.

The President is empowered to pardon unconditionally.
The beneficiary may receive the benefits of the pardon unconditionally.
The beneficiary is still on record for the offense. There is no exoneration unless specified.

Here's an example you should be able to understand: Obama pardons someone for drug possession. This individual is still a felon on counts of drug possession.

While a presidential pardon will restore various rights lost as a result of the pardoned offense and should lessen to some extent the stigma arising from a conviction, it will not erase or expunge the record of your conviction.

You have a wrong understanding of the English here.