The case of Marco Chapman: "Suicide by Court" or Constitutional right to die?

Does a death row inmate have a constitutional right to ask that his AUTOMATIC appeals be dropped so that the state can proceed to execute him? That is essentially, in lay man's terms, the issue before the Kentucky Supreme Court. The case involves 2 time murderer, Marco Chapman, who asked his trial court to sentence him to death (the court found him competent and granted his wish) and who now wants to drop his appeal so that the state can go ahead and execute him. The Attorney General's office says executing Marco is NOT "state assisted suicide, and his court appointed lawyers decry "suicide by court". The Court is supposed to issue its ruling soon.

Is the Marco's request to die "suicide by court" or nothing resembling "state assisted suicide"? What do you think?