Lifting wavelet vs traditional wavelet

Hi,

I have read several papers about comparing the performance of LWT and DWT. All the papers I read conclude that LWT calculate the wavelet transform in a more efficient manner & provides faster implementation of DWT. For example, this.

I have a code about Image Quality Assessment and I used Haar wavelet to decompose the reference and distorted images using this

[CA,CH,CV,CD] = lwt2(X,W)

However, the execution time is more slower than the DWT code. Is there anything that I missed about LWT? Or it cant work for image assessment? Please help.