Sparechange, I think that is such a good point about how we express love.
I am a mix of the last two I think. I lost both my parents unexpectedly when I was young and found making my way in life without them incredibly difficult and sad.
I want to be there for my children, the whole time, as long as they want me and I hope that I will help looking after grand children one day. However, I also want to raise them in a way that they can find their way if something would happen (excellent education, making friends easily, able to cook food, do laundry, etc, etc).
More than everything I want them to be secure and happy and know that they are loved. I have found that the more secure my children are, the more adventurous they feel. They know that I will be there in a shot if they need me, any time of day, and that makes them more confident if that makes sense.
My oldest still emails me almost every day (outside of phone time, which is naughty but I am not telling 😁) with news on tests, trials, projects etc. In the first year, she was in a complete panic as she had hidden sweets in her dorm and they had a surprise inspection. We chatted over mail for 5 min and she calmed down.
Then children have different personalities. My middle child is much more sensitive and takes things more personally. Boarding will only be if and when he is ready. For me, that will only be once (if ever) he is extremely confident and really wants to go. Until then, I will be at every school pick-up, take him to sports and friends, make him snacks and dinner, help him with homework if he needs help, tuck him in at night and just generally always be around and available.