ETA: I'm half-way right. The new-run that appears depicts a parent forming the Triangle of Horror but said parent has a legitimate reason.
Panel 1: We start off with John buckling Mike and Lizzie into child safety seats in preparation for a trip.
Panel 2: They zoom down the road in his hovercar.
Panel 3: We're now at their destination: his office building. He has Mike to push the elevator button because he's got Lizzie on his left shoulder and a toolbox in his right hand.
Panel 4: He directs them to the toys he keeps in the lobby of his office.
Panel 5: We discover the reason for their trip: he's fixing the sink in his office on an off-day and he brought the kids along. He curses mentally as he adjusts a pipe wrench.
Panel 6: AS Lizzie looks at him in the background, Mike notices the supply closet.
Panel 7: Given how easily frustrated he, as a Patterson, is, it should come as no surprise that John curses mentally the instant the chore he sets himself becomes a touch difficult. He doesn't actually need to have Mike wander in and ask "Dad-can-I?"
Panel 8: Not realizing that Mike's bored with the toys and wants to explore his supply closet, John tells him to find something quiet to do.
Panel 9: This explains why he forms the Triangle of Horror when he sees that Mike has blown up all his latex gloves as if they were balloons.
Summary: I'm going to go out an on limb here and halfway defend John. After all, he actually uses those to protect himself and his patients and now that they've got Mike's germs in them, they're useless. Of course, if he hadn't been pressured into taking them with him, he wouldn't have this problem but he thought he was doing the right thing. It should also be noted that Mike and Lizzie could choke on the damned things which makes John even more filled with fail.