Does lip lift affect alarplasty? (Photo)

I had rhinoplasty. The Dr. offered to do a free alarplasty later, after I'd healed. Separately, I had a lip lift with another doc. Both surgeries went well; I now want to have my nose surgeon do the alarplasty as planned. However, he seems intimidated by the fact that I've had a lip lift (it's been healed for a year) ~ he made vague comments about not making typical alarplasty incisions because of the LL. Based on my pic, can a typical alarplasty be done, and where should incisions be? Thanks!!