I'm right there w/you on the speculation. Of course you would say yes when a child asks if you love the spouse. You love him because he's the father of your child and he is also a part of her. Why would you say no? This would create all types of anxiety and drama for the child to rehash over and over in his/her little head.
I also think he's questioning the kids about what his xw is saying and doing. The children are innocent in all of this and should stay out of the he said/she said drama. He talks entirely too much to the kids about the relationship between him and his xw when he should be devoting his time and attention on the children and doing things w/them on their levels and leave the adult stuff to the adults.
Sit quietly, the answers will reveal themselves when you least expect them to. The past is gone, the present is a gift and you need to focus on today, allow the future to reveal itself when it is ready.