Photoshop Experts, Question About Coloring

Hi!
So ages ago, iTunes album artwork used to have a certain contrast upon album covers that wasn't convention. Sometimes pink would look purple, and there was more vibrance/contrast.
Here is an example:

Original artwork: https://m.media-amazon.com/images/I/71D5S3PHRmL._SL1425_.jpg
iTunes artwork (with their contrast / vibrance): https://images.rapgenius.com/e191e9c0efe877f17c2d5e93860aae20.1000x750x1.jpg

When I try to do it manually myself, I can never get the precise coloring of the iTunes contrast version. How can I make it like the iTunes version? Do I change the color mode / profile and save it in a certain platform? Please help! Thank you!

 

The first artwork was exported in cmyk and the second one also in cmyk but converted to rgb.

 

How do I convert it to RGB and then export? Should I save it as a certain format?

 

It may not work since the image must be in real cmyk and not cmyk converted to rgb.

 

Any more help?
Here's another example:

Spotify / old iTunes:
https://i.scdn.co/image/ab67616d0000b273375265d61530f3db5ad77953

Original coloring:
https://albumartexchange.com/coverart/gallery/je/jessicasimpson_inthisskin_2pz1.jpg

I'm want to know how the Spotify / iTunes version is so contrasted and vibrant. I tried the RGB advice from the video above, but didn't get the exact results. Can anyone help? Thanks!

 

Another example:
Spotify / iTunes: https://i.scdn.co/image/ab67616d0000b27338a33970ad21a2a1d1315875

Original: https://upload.wikimedia.org/wikipedia/en/8/81/Greatest_Hits_My_Prerogative.png

 

bumpp