You are not likely to get clear advice from the Revenue on this, as this is a complex issue.
As your husband is carrying out some of his employment duties in Ireland, his company are obliged to operate Irish PAYE on his employment income, although they may not be aware of this obligation. The company should be advised to take Irish/UK tax advice in this matter.
This is a complex situation, and the company is responsible to operate taxation issues correctly.
However, as your husband is Irish resident, he needs to be Irish tax compliant, and should seek a tax advisor in this regard