Let them cope, absolutely. After all, work is really important. When you die, they put things like "He worked overtime for 30 years" on your tombstone.
Yes, I'm being sarcastic. Think about it guys, (as most of you are). You're heading for the divorce court if you don't put family higher on your list of priorities, which is where my ex ended up after leaving me alone when I was pregnant and feeling unwell and begged him to cancel his overseas trip just that once. I miscarried 12 hours after he flew to LA for his important meeting and had to find a neighbour to watch my 4 year old while another dropped me off at a hospital.
If you must be a workaholic, then at least line up some support for when you are away - neighbours, family, work colleagues who can check on your sick family and help out if needed. And volunteer to be their backup when they are away. I've cared for young, sick children while sick myself and while it wasn't terminal for me, it was for the marriage to a man who put work first on every occasion.