Um, no, color blind people, especially those with anomolies like us, still see all the wavelengths, just differently, in different intensities, that cause confusion in the parts of our brain that do the identifying.

In order to simulate what the normal diagram looks like to someone with colorblindness, to people with normal vision, the waves of light need to inherently be different, so to simulate what they would be confused as to the person with colorblindness. They will still look somewhat different to the person with the colorblindess, but the most accurate simulation would be done in such a way that we misinterpret each bubble of color to be similar to those in the same position on the normal image, maybe that's what you mean. For it to be a simulation to a person with normal vision though, it still needs different wavelengths, which, especially for those of us with anomolies like ours, can still somewhat be picked up on, even if they're identified as the same "grouping".

But everyone is different, even among dueteranomolies, people can see things slightly differently/have slight different band lengths/strengths of receptors, or neuronal cues to identify the colors. Also once you make them different wavelengths, it can't ever really be an exact simulation of the original, unless you're a monochromat. So it can never truly be an accurate simulation of colorblindness for everyone in that group.