“Analogous” vs. “analogical”

What is the difference in meaning between analogous and analogical?

“Analogous” means “comparable or similar”. For example, “most clothing worn by humans is analogous to a peacock's feathers: useless except for social signalling”.

“Analogical” means “of or pertaining to an analogy”, and is close in meaning to “metaphorical”. For example:

• “Many common English sayings are analogical in nature.”
• “While her statement was intended to be taken literally, many in the audience mistakenly believed it was analogical.”
• “Great scientists have used analogical thinking to notice the underlying relationships between natural phenomena.”