The answer may sound blunt, but it is:
When shielding the unit with foil improves the noise situation then it helps against electric stray fields.
When shielding the unit with a steel cabinet (iron) improves the noise situation then it helps against magnetic and electric stray fields.
But when you do not have these situations shielding is useless, but it cannot harm. You have to try!
The most noise comes in through the antenna. In this case one must place the antenna as far away from the noise sources as possible. Some amount of noise can be induced into the coaxial cable. In this case a common mode choke at the antenna input of the receiver helps.
Summary: Shielding can help, it is not a bad idea, but it is no warranty against noise. I would prefer the steel cabinet against magnetic and electric fields.
All my receivers have a common mode choke at the RX input. This is very helpful against local noise induced into the coaxial cables from close noise sources like switching power supplies, USB noise or similar. But when the noise is caught by the antenna, nothing helps except setting the antenna up in the Arctic

where no civilisation is near. This may sound funny, but the urban noise situation is getting worse and worse (switching power supplies, homeplug powerline modems, VDSL spectrums, "smart" home networks...) and it is in most cases not the noise in your own house but that one coming in from your neighbours.
73, Heinrich