They are offering to help, BECAUSE your Husband is deployed and not home.
It is NOT about you, and your not being around, that only then they will help.
It is because, your Husband is deployed.
Now.
When your Husband is home, they assume, he and you... are fine and don't need help babysitting.
But sure, as you said they make no effort to visit you/your kids, when your Husband is home.
Thus they don't 'know' your kids, as you said.
And you don't know their level of supervision/care taking that they would have with your kids.
They are not thinking of that.
They are only thinking of the fact, that your Husband is deployed and they are offering some help. Since it is a 1 parent household now.
So that is what it is.
Conversely, what if it were your friends, offering you the SAME thing as them??? To watch your kids when you need a day off or want time to yourself??? Would you be just as irked, at them, for merely offering some help???? Since your Husband is deployed?
To me, this irritating thing here, is not they are offering help now that your Husband is deployed... BUT that, you are irked & miffed at them because they make no effort to visit with you/the kids.... nor try to get to know them. But yet, you don't want to send up smoke signals. As you told them.
They will not invite themselves over.
Have You... invited them, over? Extended an invitation?
They are merely... offering HELP to you. Anytime you need a breather. Not it being contingent on your being away and only then they want to spend time with your kids while you are gone.
Take it as it is said. They are offering help. To you. For you. Since your Husband is deployed.