My response to this is the opposite!
“Would you mind taking the trash out today?” pressures me into a commitment and my PDA twitches painfully. It also irritates my literal ear: What does "would you mind" even mean?
"We need to take the trash out," gives me an opportunity to opt-in and I absolutely will.
Even, "I'd like you to take out the trash today," is easier on my ear because they are essentially talking about themselves and their desires.