The X-rays don't come out the top of the tube, they come out the bottom. The limits for complete sets with shielding in place were tested at the outer surface of the cabinet. If you look at the regulations for TV sets, and compare the intensity in a complete set to the value from the tube itself you will get some idea, but note that the tests are done with the set deliberately run to maximize X-rays.
https://www.fda.gov/radiation-emitti...2015%2C%201970.
"A Federal standard limiting x-ray emissions from TV receivers to 0.5 milliroentgen per hour (mR/hr) was issued on December 25, 1969. The standard is applicable to all TV sets manufactured after January 15, 1970. The overall effect of the standard is to require that TV receivers must not emit x-radiation above the 0.5 mR/hr level when tested under adverse operating conditions. Test conditions do not represent normal use and ensure that when used under normal conditions, TV sets do not pose a radiation hazard."