Is it best to shield/ground an SSD in a laptop when the HDD was shielded/grounded?

I recently replaced a 2.5″ SATA HDD in a laptop with a 2.5″ SATA SSD.

The HDD had thin piece of flexible metallic foil attached to it via adhesive and 2 screws. The foil had a lead that then got screwed into the motherboard. I’m guessing this was to shield or ground the HDD.

The SSD has screw holes in the same positions as the HDD, so I could, in theory, remove the foil from the HDD and screw it into the SSD. The only trick will be removing the foil from the HDD because the adhesive is, well, very sticky.

Would it be best to apply the metallic foil to the SSD and screw it in, or not use the foil at all?

Here is an example photograph (not the exact drive I replaced, but similar):

Metallic foil on hard disk drive