This article is from the Apple II Csa2 FAQ, by Jeff Hurlburt with numerous contributions by others.
I've done some testing. The Radio/TV interference shielding mattered, at
least for all the people around in my former dorm.
----------------------------
My tests were done in a separate dwelling (i.e. not an apartment, dorm,
etc.) and focused upon effects in our 'Computer Room'. Turning ON the GS
produces some interference with or without shielding and the level seems to be
the same.
One problem with R/TV interference is that its level and kind is dependent
upon many factors. For example, I can get virtually complete elimination of GS-
produced Radio station interference by simply turning ON a printer connected to
our PC!
Each user will have to weigh the trade-offs for his/her situation.
Removing the shielding eliminates a dust trap and improves air flow. It is
easier to pass cables through case slots; and, if you need to remove the
motherboard (to make repairs, add Slot jumpers, etc.), removing the bottom
shield removes a shorting hazard when the board is re-installed.
If you remove the lid and do not like the way Radio or TV reception is
affected, leave the shielding alone. If the result is acceptable, scrap the
shielding.
 
Continue to: