Oh Gracie Ruth does this real bad too! And I encouraged it, now I have to live with the monster I've created.
When we first got G, she wasn't the most cuddly of babies. She was really into the playing and being with Boo. But for some reason every time I sat down at the PC she'd insist on being picked up and held. Well of course I did, it was the only time she came and asked for it. Now, she's much more loving and cuddly but still insists on being held when I'm on the PC.
The funniest thing tho, if I play a video of a dog she'll perk right up and watch it, getting very close to the monitor to get a good sniff. Once the video is over, she'll curl back up and go to sleep. The 'other dog' is all but forgotten.