Corporate lawyer here. The job you do as a corporate lawyer is really dictated by your workplace.
Some have commented na 'corporate housekeeping' or 'compliance' usually, and they're right. But emphasis on usually.
If you go to a top firm, the more complex yung mga corporate law matters na mahahandle mo like securities and capital markets, M&A, banking, project finance, foreign investments, restructuring, anti-trust and competition, real estate, construction, energy, transportation, utilities, PPPs, just to name a few.
When I was still in the firm, corporate housekeeping is the boring, grunt work that you do if hindi mo bet mag-isip masyado.
So yeah, Corporate Lawyer A and Corporate Lawyer B may both identify themselves as the same thing but may have entirely different backgrounds and skillsets.
The Government has corporate lawyers and they are in the OGCC.