Lifting wavelet vs traditional wavelet

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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.

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