As a teacher, I hesitate to say you are wrong in your analysis as long as you can support your claim with reasons and evidence. While you certainly are providing some evidence to support your interpretation of Robert Frost’s “A Time to Talk,” I do think you are misreading Frost’s tone when you say it is sarcastic. The speaker of the poem says that when a “friend” slows his horse to a “meaning walk,” he does not reply with an annoyed “what do you want” as he continues working. This suggests that the speaker is observant and considerate of others. He does not want to neglect an opportunity to interact with someone he respects in favor of finishing his chores a few minutes earlier. Words like “mellow” and “friendly” in the latter half of the poem have a positive connotation. There is no evidence to suggest that the speaker is using sarcasm when he says that he likes interrupting his work temporarily to visit with a friend. While you make a good point about friendship being necessary in the speaker’s eyes, there is no indication that the speaker takes a break from his work only out of obligation. Instead, the speaker seems to welcome the respite, realizing that the hills he needs to hoe will not go anywhere if he takes a few moments to chat.