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If you want to keep red and blue untouched then, rather than delete green, just fill it with black.
Correct to delete green you fill the green channel with black and stay in RGB mode. The image will turn Magenta. If you delete the green channel the image will switch to multi channel mode you will no longer be mixing colors in RGB mode. I do not know why the channels are cyan and yellow. Of other color depending on the channel deleted and the edit mode you were editing in. I have never tried to learn anything about multi channel mode. I have only printed on Inkjet printers that use RGB color.
FWIW: I created this configuration to allow students to slide layers to superimpose pairs of Channel colors and construct/deconstruct a final familiar image.
1. The separate channels that created the final image
2. Red + Green (no Blue)
3. Blue : Green (no Red)
4. Red : Blue (No Green)
When all three channels are superimposed in register the top image matches the bottom one.