It's really hard to judge this because it's SO personal.
We're NC with DH's parents but even before the issues that led to that, we both hated her phoning. She'd message constantly about random stuff, like seeing an old band that she thought DH might have liked, and then constantly message asking for a reply. She wanted to meet twice a week. It was full-on, and when we were together, it was perfectly fine but not enjoyable.
Life is busy, especially now. In my 20s I was exploring things, working hard and having fun. In my early 30s, I'm raising a child, working a lot, trying to stay on top of the COL crisis and still have a social life for both me, DH and DS, separately as well as together. There's not enough time for anything ever.
Most of my friends only see their parents weekly because the grandparents provide childcare for a day or two for the toddlers. It's sad, and I hate the idea of that being where we end up, I can't imagine it with a one-year-old... but it's not personal, they talk really highly of their parents.
Some people are naturally really close to family and I suspect that's a combination of how much wider family exposure they had as a child themselves, and their personalities. Some are not as much. Advice from your parents, even well-meaning, often feels irrelevant - my FIL liked to give advice on everything from paint colours to mortgages and work, and with the exception of the DIY advice, it was all outdated. There's an element of independence that is finding your own way, too. For your DD, that may well be working out how she deals with spiders - I am horrifically scared of them too and have passed out before, but have had to learn to cope. Initially that was by making friends with a downstairs neighbour who could help me to get them, now it's with a hoover if DH isn't around to take them outside in a cup.
There's a tendency to stick your claws in and try and drag things back when it feels like they're floating away, and I think that feeling will be intensified for you because they're both moving abroad. Subconsciously, they might also be preparing for that by practicing lower contact with you.
Will you be able to visit?