Most people know what poaching means without making that association. It’s a perfectly legitimate term across all forms of employment, in both negative and positive contexts.

Do we also need to retire ‘head hunting’, because it brings to mind cartoonishly outdated notions of savagery?

Actually, it's a technique used to make eggs, and I understand that the eggs are perfectly fine with this usage of the term.

Might be too late to start gatekeeping this term

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poach (verb) poached; poaching; poaches

Intransitive verb

1. To encroach upon, especially for the purpose of taking something.

2. To trespass for the purpose of stealing game; also, to take game or fish illegally.

Transitive verb

1. To trespass on.

2. a. To take (game or fish) by illegal methods.

  b. To appropriate (something) as one's own.  
   
  c. To attract (someone, such as an employee or customer) away from a competitor.

There are many thousands of words that mean more than one thing. If you go out of your way to deliberately misapply one meaning to another, in a way that's offensive, that's on you. Nobody's asking or forcing you to do that.

Do you object if someone says, "I adopted a new strategy"? After all, children are adopted, and one could say that using this phrase trivializes a deeply important human relationship.

Do you object if someone says, "She's a fan of my work"? After all, a fan is a machine that blows air. It could be said that referring to a person as a fan reduces them to an appliance whose purpose is to serve someone else.

Do you object if someone says, "I have a date tonight"? After all, a date is a fruit. Someone could say that calling a romantic partner a "date" is to objectify them and reduce them to something consumed for pleasure.

Words can have more than one meaning.

People are, in fact, animals.