^^ Ummm, MK had an impact on ladies figure skating in many ways in terms of her movement style and her graceful, elegant use of her expressive arms. However, nobody really reminds me of the real deal. Michelle Kwan will not be repeated; she is her own remarkable phenomenon, and a legend in her own time.
For e.g., back-in-the-day, when Yu Na Kim first came on the scene, and I saw her skate for the first time, I was reminded of MK's skating. But that's because Kim was very much inspired by Michelle, and Kim I believe was in Juniors around the time Michelle's career was winding down. As I saw more of Kim, I realized she may have tried to pattern her movements on MK's example, but Kim was more of a bravura technician who never really fully tapped into her artistic possibilities. Kim had some wonderfully musical programs from choreographers, but it was her jumping ability and her willowy physique that were her greatest assets. She had a horrible layback position (which she tried to improve) and no stretch in her feet (which she never tried to improve).
I am generally in agreement with your views of Alysa Liu.

Although Alysa has a confident, bubbly personality, other than that I don't think her personality resembles Lipinski's very much. Lipinski is also very much her own unique phenomenon and personality; especially that unforgettable, piercing scream.

There was a graceful quality to Lipinski's skating, but I agree her skating was less refined and more juniorish when she won the OGM and subsequently retired. But she'd overdone the jumping and wouldn't have lasted competitively since she soon underwent hip surgery.
I can see Alysa being a Kwan-like skater, and wouldn't it be amazing if her Kwan 1995-96 transformation could happen at the same age?
Michelle was and is Michelle, Alysa is Alysa... Please let them be who they each are, in their own time, without any yearning for days and situations gone by being repeated.
I'm glad you experience such joy in looking back on MK's performances. Great performances never grow old.
Oh uh, as I now see reading more comments, everyone is having flashbacks: Chen Lu, Lipinski, Kwan...
LET THE SEASON BEGIN!
Kostornaia is Kostornaia; Alysa is Alysa; Ting is Ting, and so on...
"To thine own self be true, and it must follow as the night the day. Thou canst not then be false to any[one]..."