Should my Jumbo Seamaster 2976 crystal have an Omega Logo

Can I ask how you selected this as the correct crystal? I've just gone onto the site, searched for case 2976, and looked for the ":glass" as they call it there, and it comes up as "No results found", so I'm curious how you determined that this was the right crystal?

The crystal for this case is 063PZ5171.

For the OP - the chances of this being an original crystal are very slim, and these are changed regularly at service. There is possibly a difference between an Omega crystal and a generic one - it is not just cosmetic with the symbol as has been suggested. The tension rings in Omega crystals are often stepped, and this provides a recess in the ring for the dial to sit in. Generic crystals don't usually have this same step, so this can lead to damage on the perimeter of the dial, they can cause the movement to sit further back in the case than it should, etc.

This is a photo of a generic tension ring on the left, and an Omega one on the right:



The arrows represent the width of the outer part of the crystal - little difficult to see here but the one on the right has a step in the tension ring.

Here is a tension ring removed form a crystal, so you can see the step more clearly:



This is more than just a logo in the middle of the crystal.

Cheers, Al