A compromise — #19 of 31 Tweed ranks #19 of 31 fabrics for odour resistance. It is a middling fabric for this. Ranked with a wool-family bonus plus breathability and moisture management. The top pick is Merino.
Tweed measures 50/100 for breathability, 14% moisture regain, 82/100 warmth, at 350 gsm. Wool fibres lead here: Tweed is not a wool fibre, so it leans on breathability alone.