I am not a horologist but you've partly answered the question by your statement about level. A little thought will show the escapement's action could be affected by the hang of the pendulum, whose rest position should be perpendicular to the movement in both planes.
Also, are the escapement pallets badly worn, shown by a groove in each? That might not help.
I think too the oil can have a marked effect. It would take only a slight thickening by evaporation to gum up the works.