McKinsey vs. BCG for US Advanced Degree Candidate

Age-old question but would love to get some insights especially during these economically challenging times!

Background: Advanced Degree Candidate (MD), was fortunate to have received both McK and BCG offers for the same U.S. office. Now having real difficulty deciding between the two firms.

Here are my current thoughts on the firms, feel free to add anything or correct me:

McK: More “aggressive” culture. One firm model so office culture doesn’t matter much. Higher prestige/ slightly more flexibility in project types and location compared to BCG. Currently in the midst of layoffs, also introduced “emerging concerns” to get rid of more people. Will be one of many MDs at that office so no added value prop. 

BCG: More down to earth culture (at least from my interactions). Good amount of healthcare projects based out of local office so will be able to do that line of work. Met multiple people that have done solely healthcare work in the office. Have zero MDs at that office currently (all went to M past few years), might increase my value prop. 

My main question is that is there a “wrong” choice here? Will there be certain competitive exit ops locked off like PE Ops/ VC because I didn’t go to M? 

Last, any other factors I should consider between the two firms? Thank you!