That depends on what you define as works. Here is the spot diagram for the 70mm f/24 Cross design singlet I worked up. The Cross design minimizes spherical aberration but does not fully correct for it when you use spherical surfaces and R2 is 6x larger then R1. Even if you refocus for blue and red those wavelength have even more spherical then in the green. You still have a huge amount of chromatic aberration which the spot diagram shows. The black circle is the size of the Airy disk so any light outside is not diffraction limited. If you use filters, even very narrow ones your still not at a diffraction limited image and you have thrown away a lot of light. If you want to eliminate spherical over a narrow set of wavelengths at these F-ratios you need to aspherize a surface or if you want to stay with spherical surfaces you need to greatly increase the focal length to many many feet.
Were singlets work is for true monochrome viewing or imaging as in solar work. The Hale spectrohelioscope at Stellafane use a 3" diameter singlet of the Cross design with a 16 foot focal length. At that focal length and aperture the image is diffraction limited over the wavelength that is used but you still have to refocus for each wavelength and the difference between were blue comes to focus vs is red is around 7".
It's funny that when you don't know any better, you get to thoroughly enjoy substandard stuff.