Can I ask is there a pay limit for associate consultant, consultant, or senior consultants in public sector.

Let's take a AC in ops for example, assuming one does not want to pursue fellowship, they will be stuck at AC level forever. If one stays in ops forever, an annual increment of 3-4 % for an average perfomer will mean that one's pay will close to double in around 8-9 years. Just wondering will there be a upper limit cap or your pay will continue to increase as long as you stay?