Much more complex than that - both sides have members of the aremed forces deeply embedded in each other's sytems
It is not unknown for someone (say the USMC) to get their British buddies to raise issues in both private and public that they are reluctant to be be seen to back too hard.... then there is a favour owed and will be collected when (say) the RN has problems with the politicians.... DailY Telegraph "US says British should do XYZ" etc etc.....................