They dont lose brightness "persay" But... the older the CRT is/longer it sits dormant, there ARE impurities in the CRT and it will oxidize the cathode material in the electron gun.
This will cut-off/weaken emissions from the gun until the oxidized material gets burned off.
This is called "waking up" the tube after a long slumber. (many decades).
usually you have to run up the filament voltage to around 8V for a few minutes to a half hour to get emissions back up into the green again.