Oh dear. Why do so many grandparents feel that it some sort of competition as to who sees those grandchildren, how often and on what occasions, etc.
My Children were my world. When they grew up and got their partners, I felt I had been moved down a notch with them. Yes, of course I was and quite correctly so.
When they had children, it felt a dropped even further down -and - of course that was also quite right and correct.
Grandchildren are now all grown or growing up. Some I have a really good relationship with as I was a constant presence, others not so much a I did/do not see them very much.
Does it really matter? Thanks goodness, all my g.children come from happy homes, and surely that is all that really matters. All of them and their parents are coming to my 85th birthday celebrations this month.
For those fortunate enough to be around and near enough to see their grandchildren personally as much as once a week, (as the OP), then just enjoy that and stop trying to look for problems in your relationships.