I believe why we breeders caution folk that Savannahs are not lap cats is NOT because they lack affection, nor that they won't CHOOSE to climb into your lap when THEY want attention....it is because cats that are more considered "lap cats" are the type of cat you can pick up and put on your lap and they will stay. My British Shorthair will stay if I do that as long as I am petting him, while my Savannahs would immediately leap off. They choose when it is cuddle time, the human does not.
Working in Rescue, we get lots of emails asking for advice in handling their new Savannah kitten. We do get asked "when I pick up my kitten they want to get down immediately, how do I train it to sit still on my lap?" and hence we have to explain that a high energy kitten wants you to play with them and then they might come cuddle afterwards.
Exactly!
The room where my 52" TV, trophies, and two live house plants are located is "off limits" to Louie unless I'm in the room either reading or watching TV. Every time I'm in that room, I try to keep the door open so he can come and go as he pleases; however, I MUST persuade him to nestle on my lap/legs otherwise he goes for the plants, jumps on the shelves for the trophies, or grabs my ribbons and other things hanging from the walls. If I can lure him onto my lap as soon as he enters the room (which, invariably is as soon as
I enter the room), usually by scratching at the chair seat while I'm on it, to sort of emulate a rodent scratching sound, then I MUST immediately keep him interested by petting him, scratching him and praising him until he decides to settle down and lay down. This doesn't always work, and, at times, can become tiresome. After a few attempts with failures, I have to put him out and close the door so I can relax with a book or the TV. I estimate my persuasion success rate at about 40%, and sometimes, he decides to stay on my lap of his own accord. On rare occasions, he decides to bed down on the other chair residing in my TV/trophy room, while I'm on the recliner.