I missed the logo part. It looks like they may have done a lower voltage gold on the logo? With it engraved you could do a fine brush with some acid to remove the purple and then dip again since the lower voltage gold will not affect the higher volt purple.
Lower volt colors also produce a slightly thinner oxide layer btw.
Fine lines depends on your resist/mask. If it’s thinned enough you can capture brush strokes. You can also do a reverse resist similar to a copper etch like this -
So what you do is cover the entire area with a resist. Then carve through the resist for what you want anodized. You can’t get the deeper shading like on the copper, but a flat image/design. You can go back with say 2000 wet grit sand paper and shade/fade areas. A tiny piece glued on a q-tip worked for me messing around.
On my flipper (knife) I wanted to get a faux copper patina look after getting this beautiful powder blue color. So I wanted to have several effects of gold, copper, purple, green, etc. to show through with different finishes from powdery mat to polished shine. In real life in sunlight it was pretty cool. You were always catching color shifts and changes.