Stick with what you’re doing. I totally disagree that rabbits love being picked up. I think those people are completely misreading their rabbits.
That being said – 1 of my bunnies has spent a considerable amount of time ill, with me nursing and caring for him. He was paralyzed for a while, and is still weak in his hind legs, incontinent, blind, and deaf. So for him – touch and smell are really important. I touch his head to signal food, and I stroke him down his spine to signal that I’m about to pick him up. I try to be repetitive so he learns to understand what I’m doing. Anyway – I’ve had to handle him a lot – he still gets weekly baths. While he was paralyzed, I was taking him with me everywhere including work and leisure travel. He was in a diaper, I was syringe feeding him, and turning him over so he didn’t get pressure sores. I believe he came to understand that I was helping him. He started grooming me just like he grooms his stuffie, or his pal-bunny. When I have him on my lap, he relaxes ad falls asleep. I can tell he doesn’t like the act of being lifted up or placed back down. Having his feet off the floor is not a good feeling for him. But once he is on my lap and I’ve petted him and wiped his eyes (he enjoys an eye-wipe with a warm damp cotton ball), he relaxes. In his baths, I put a cloth in the basin so he has grip, and a cloth over the edge for his front feet. He sits and grooms himself while I bathe his rear end. So in cases like this – I believe it is possible for a rabbit to become so used to being handled, and trusting of the handler, that there hare parts of the experience that can be relaxing. But I don’t believe this is a general rule. Rabbits who are “still and don’t struggle” are actually frightened. This can be misunderstood for being used to it. My little guy doesn’t freeze up. He continues with life as usual – napping, grooming, sniffing, that’s why I think he is relaxed, and not just tranced. I cut his hair every time I bath him. Now that it is a weekly routine, there isn’t that much hair to cut. but I’ve been known to spend up to 2 hours grooming him and cutting his hair. If it takes that long, he will start to chatter his teeth, and then I’ll call it quits for the day.
So I believe he is used to it – although I know he doesn’t like the picking up/putting down part, and never will. On my lap, he relaxes coz we have a bond and he trusts me.
Keep doing what you are doing, and don’t believe all that other stuff. Luna sounds like she is in a good trusting spot with you two.