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Getting shortlisted for interview - Just your batch rank and college matters

Getting the gig - Quality work not brand

Getting lateral gig after A1-2 - Brand only + Practice area
Branded Internships matter for getting shortlisted. Quality of work matters when they take the interview.
Basically the title; does it matter if you have done good quality work in your internship at boutique law firms but don't have so called "branded" internships on your CV? Does that affect my prospects of getting internships/day z job?