Competitive gran? 4yr old torn/coerced

Sounds like you enjoy being the ‘favourite’ gran, well, we all like to be popular, don’t we?

Not very nice for the other GP’s though, especially in their own home.

Perhaps be kind, encourage GD to bond more with them whilst there.

Ps did you ever move house? If so, did it go well?

Why are you still in bed when everyone is downstairs for breakfast 🤔

It's lovely that the other grandparents invited you to stay, even though you don't seem very keen on them.
Just tell your granddaughter that you're getting dressed so go downstairs for breakfast and you'll be down shortly.

You are at the other GM house.

Personally I would be putting my foot down a bit with the GD. Assuming the others in the house are treating her well.
Tell her you can tell stories etc when she is at your house.

You have other relationships going on here, besides your GD.

It’s not your fault, so I don’t know why people are getting annoyed. No-one can choose who a baby likes most (except the baby, of course!). My granddaughter was exactly the same when she was little and all you can do is gently guide yours to her parents when she singles you out and she’s wanted elsewhere.
You and she have clearly got a special bond. I have it with my granddaughter too. She is 23 now with a baby of her own but still visits as often as she can, and she says I’m her best friend. I feel blessed that we are so close.
Be thankful, and if others don’t like it, tough!