Delete the Multizone mesh method and the Inflation mesh controls you have.
Under Mesh insert a Mesh Control Method and set the type to Sweep. Select just one straight pipe for the body. On the Source face, select a circular end face.
Now RMB on the Sweep mesh control and select Inflate this Method. It will automatically light up the end face that is the source. Now select the circular edge.
Generate Mesh. I think the Multi-body part will carry that sweep to the other two bodies without applying any mesh control to them. Try that first. If it doesn't work, you can repeat the mesh control on the other two bodies.