Re: That added touch of detail...
I preferred the invisible phaser beam in the original, ungraffitied "Naked Time." My off-topic comment, however, is why didn't Scotty simply cut through the door itself at higher power -- considering the urgency of the situation? In "The Enemy Within" the shuttlecraft is not mentioned, as it had not been introduced yet; "Naked Time" did not mention the intra-ship beaming used in "Day of the Dove."
"No, I better not look. I just might be in there."
—Foghorn Leghorn, Little Boy Boo