My opinion, study or not is up to you. Now your supervisor asking you to study LCC Higher, next time he/she will ask you to study AAT, then ACCA, etc etc. In accounting field experience is much important if you not think to change a new job.
I study Dipolma in HKSPACE and Degree in Curtin U ( we can have up to 8 subject after u complete the Dip course offered by HKSPACE and Now I am studying the CPA Course from CPA Aust .