An "idealised version" refers to a perfect or envisioned representation of something or someone. It means creating a version that is considered to have the best qualities or traits, idealizing what it should be like. Full definition
Marshall's vision for social justice reaches its apotheosis in the central gallery, where seven paintings present idealised versions of public housing projects. (apollo-magazine.com)
Indeed, the real reason to watch The Secret Life of Pets is for the animation, with the beautifully sprawling vistas of Manhattan a wonderful reflection of the animals» idealised version of the city as their home and centre of their universe. (filmireland.net)
There is a strand of liberal opinion that despairs of Britain not being like somewhere else, or an idealised version of somewhere else. (blog.politics.ox.ac.uk)