A consulting internship is the more direct signal if the work is strong, but a good finance internship can also build highly transferable analytical and client-facing skills.

The key is what you can demonstrate afterward. The non-consulting internship guide explains how to translate experience into a consulting application.

Choose based on role quality, learning, and what you would want if MBB did not happen. Do not optimize every career decision around one future recruiting process.

IB definitely did not block me from consulting interviews.

If the consulting offer is weak implementation and the finance role is amazing, I would not blindly choose the word consulting.