In the good spirit of reporting things that work now for me that previously made trouble I am happy to report that both terminal emulations Alacritty and Kitty work now with the standard mesa drivers.
(They might have worked before and I was just not aware)
One thing is to do though. For both programms to work a terminal variable has to be set for each of them:
export MESA_GL_VERSION_OVERRIDE=3.3 MESA_GLSL_VERSION_OVERRIDE=330 alacritty
export MESA_GL_VERSION_OVERRIDE=3.3 MESA_GLSL_VERSION_OVERRIDE=330 kitty
After the respective variable is set the terminal emulation should start