Hi Sahira, well some people do like to worry other people!
If anuone tells you something, ask them to give their reasons, and I don’t see any here! For one thing there is little decompostion happening in winter, so bacteria need little air. Your manure is mostly decomposed anyway.
Even my compost heaps have minimal exchange of fresh air, you can imagine how little can arrive to the middle of any heap. Look how leaves rot down successfully in bin liners!