It depends if you consider this a good logo. I think logo designers would say it doesn’t meet the criteria of a good logo in simplicity or distinctiveness

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Well. I didn’t say that this is the good but was trying to calculate how long it will take for a designer to create at list this one

The logo design process is very iterative. Perhaps it’s not a good comparison to this task which is more illustration than logo design. I’ve heard professional logo designers take a day or two to make a logo which involves many iterations in the process.

As for illustration, I’m not sure but seen artist draw something like this fairly quickly - without color or vector