I don't know, personally I think it's a bit weird for any mentor to expect recognition for their mentee's success. Surely the success itself is the reward? Pay it forward and all that. I would hope any parent would be adult enough not to feel like their child was stealing the spotlight from them.
You could look at this in at least two different ways. 1) journalism, and how it’s a better story if the kid is a self-contained genius; or 2) having youth be thankful for mentoring, and to understand little in life is achieved without others’ assistance.
I don’t consider that the parent comment is seeking to “steal the spotlight”; just that it’d be a more realistic appraisal of how success is achieved.