Ultimately, it comes down to your own measure of expressing love, and the expectations you've given your children in that respect. It's really weird that so few posters are able to see past their own binary view of loving vs lazy/bad/neglectful parenting.
For some parents, the ultimate expression of love for their kids is buying them stuff and never saying no. Let's say worst case scenario for those kids is being denied ice cream and a new Playstation, and will leave them questioning whether they are loved.
Other parents will say the ultimate expression of love is being around them all the time, cooking every meal, tucking them up in bed. For those kids, being told they are being 'sent to boarding school' will sound very much like 'I'm withdrawing my love by withdrawing my presence' and could very well be traumatising.
For other parents, the ultimate expression of love could be making sacrifices so their kids can have the best possible life. They might go without holidays, cars, treats etc to pay school fees, and will probably make sure the child is aware of what is being given up so they get the best possible education, and probably have impressed on that child from an early age how important education is.
For this child, going to boarding school isn't being rejected, or sent away. It would be seen as a selfless act by parents in order for them to get the best out of life.
I was in the latter group. I had parents who went to boarding schools, and grew up hearing the fun stories they had. I grew up with god parents who were school friends of my parents. I equated boarding with fun, not rejection.
Overlay that with being the oldest child in a big family, and I soon realised that not only was this experience as fun as I had been lead to believe, it was in a lot of ways preferable to being at home, so I certainly wasn't pining for being back in a noisy house full of siblings getting all the attention.