The term "burr-headed" is typically used to describe someone who is stubborn, obstinate, or difficult to persuade. However, there are several synonyms for the word that can be used interchangeably in different contexts. For instance, the word "wilful" can be used to describe someone who is determined to have their way, without considering alternative viewpoints. "Headstrong" is another synonym that describes someone who is resistant to change, adamant about their own opinions. "Obdurate" is yet another synonym that describes someone who is unyielding, unrelenting, or inflexible in their thoughts and actions. Depending on the context and tone of the sentence, different synonyms can convey different nuances of meaning.