I mean, a lot of roleplayers don't.... It's definitely pathetic, but like of all the reasons it is, not responding in first person is a weird one to single out XD
Just my two cents of course
Edit : And actually looking back at the picture, the prompter themselves even describes their action as [He] takes her hand, not [I] take your hand, so it makes even more sense for the AI to be doing the same.
As someone who works with customers.... yeah, it's like 90% of my job