Again, I'd need to know what they deemed significant and what they discarded to come up with their numbers in either calculation.
Which is a bit of a lie, because I don't know how to do a full GR calculation, but that is the most likely source of discrepancy between 2 calculations made decades apart.
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The statement of "more gravity" is ambiguous since it's not clear whether you're talking about mass density, the small g acceleration, or the depth in the spacetime field.
There is not more gravity in the core. The core is deeper in the curved spacetime well.
(which is what I think you meant to say)
The acceleration due to gravity at the center of the core is 0 m/s^2.
The density of the material may be higher, which might be a meaning for the phrase "there is more gravity there." (I doubt this is your intended meaning, but it is the most pedantically attached to the semantics of your statement.)
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