Unfortunately, the linked to simulator, like many of the online simulators, does a very poor job. When simulating protanopia, reds should appear darker, due the lack of L cones. However, many simulators incorrectly display red as bright green instead.
I've also written a color picker that uses the Machado et al. method to enforce CAM02-UCS minimum perceptual distance for normal vision and color vision deficiency [2].
[1] https://www.inf.ufrgs.br/~oliveira/pubs_files/CVD_Simulation... [2] https://colorcyclepicker.mpetroff.net/