Thats not really true.
As stated, many arcade machines use these mirrors... from the 50s to the 90s and even the 2000s !!!
With a Surveillance One way mirror... the effect works to reflect like a mirror... UNLESS... someone behind the mirror, in the room, turns on a light! Once that happens... you can see right through the mirror.
Which again, is why they use them on:
Asteroids Deluxe
Space Invaders Deluxe
Discs of Tron
Warlords
Kasco's Ninja Gun (and pretty much every Electro-Mechanical Gun game)
Video Pinball
Gholly Ghost
Some Shooting game by Namco? that has a Soda-Can that explodes into pieces
And many more...
Effect Variants & Other fun Info:
Terminator 2 - Rear of half silvered mirror is mostly painted black... with exception to Two silk-screened explosion stars. There are flash bulbs placed behind these translucent star shapes... and if you get hit in the game... they light up and create a hovering 3d explosion effect. Many people never saw this effect... due to the fact that when the bulbs blew... the Operators never replaced them.
Ninja Gun - Uses a similar setup like T2. It has two rows of translucent white Ninja shapes, and a colored plastic plate in front of that painted shapes. Lights light up in sequence, making it appear that Ninjas are flipping across the middle of the game... or are hanging from a cable up in the middle of the air... crossing hand over hand across the game field.
Crater Raider - Uses a special curved first-surface mirror. When you look at the game, is makes it appear that the monitor is wider and deeper. Quite a cool effect.
Kozmik Kroozr - Actually used a real physical UFO model. The model actually spins around 360 degrees, and lights up with LEDs. Much more than the Standard static backdrop!

There are also a few games that used such a mirror for Stereoscopic displays... using dual monitors.
The Monitor Image should be more than bright enough to pass through the Reflective coating... Especially considering that games like Asteroids Deluxe were backlit with low level Blacklight bulbs.
Ghosting isnt caused by the reflection. Its caused if the mirror coating is on the rear of the glass, rather than the front... and if you are bouncing the image off the front... vs passing the image directly through.
And to be clear... Generally speaking... the Artwork is NOT being reflected. The monitor image on these games is in Front of the mirror, being reflected off the front surface of the mirror... while the lit up artwork, is Behind the mirror... and just passed straight through.
Because the Monitor is in front, it appears to hover over the top of the artwork... in 3d. Due to the 45 degree angle of the mirror... that means that the artwork is about 1.5 to 2 ft deep... causing good 3d depth effect. In Discs of Tron Environmental... they took it even further.. and had pieces of artwork that were even closer to the mirror... making 3 different distinct depths.