No one says it is per se a Meat Loaf parody. It's obviously a wink to Jim Steinman; lots of layered backing vocals, piano centered, dynamics, even the Total Eclipse style castanets. Especially around 4.15 (the backing vocals outtro), very Steinmany in my opinion.
A lot of Weird Al "originals" like this are often done in a style of a band / a type of music etc. This one could be considered Steinman indeed. No way is it a direct "parody" of Left in the Dark.
Weird Al is just like Meat Loaf. You either love it or hate it. I love it.