True theoretically, but in Africa, there are Catholic families where the husband has 2 wives.
If so, they are doing so in violation of what the Church is telling them, and they too are prohibited from Holy Communion.
I have very first hand knowledge of this. I am a regular visitor to a rural diocese in Tanzania ( there twice last year alone).
During that time, I am fortunate to stay in the residence of the bishop of the diocese. During my various stays, we have often talked about the challenges that he faces. His diocese is split about 50\50 Christian (mostly Catholic) and African tribal religious. There are also a small set of Muslims.
One of the biggest challenges that he faces in conversions is the fact that some of men have multiple wives (or wish to have multiple wives).
But he is very clear in his teachings, your single wife is the first one that you married. The convert does NOT get to consider multiple women to be his wife nor does he get to choose which one will be the wife and which will be considered to be like sisters.
That is one of the reasons that the African bishops are so outspoken on this issue in relation to the Synod. In is an issue that they deal with daily and in which they forcefully teach the Catholic view on marriage, even in the face of social opposition.
This bishop has also told me that he is saddened by many of the statements made by European bishops. Such proposals would make his work much more difficult. A potential convert would argue that he SHOULD be able to keep multiple wives if the Europeans can have multiple wives too.
And he has a point.
But to your point, if such men exist, they do so in DIRECT DISOBEDIENCE to the clear teachings of the bishops of Africa on this. And such a bishop would not hesitate in denying them Holy Communion as adulterers.
If you have personal knowledge of such men, please inform their bishops, the bishops will most certainly take corrective action.