Hi there,
Congratulations on the BCG offer! In terms of your question:
1) Is it worth my time to re-recruit for the other two full-time for such a reason?
I moved to VC after BCG so it is possible to do so. It took 3 months of solid networking though.
The likelihood depends also on your geography.
Personally I would also take into account the fit with the company besides the possible future exit in 5 years for a few reasons:
- You may change plans and not look at PE and VC anymore
- What if you love the BCG culture and McK or Bain are not a fit? In this case it might not be worth having 5 meh-years just because maybe you are going to have a better exit later
If you think there could be a better fit with McK and Bain, by all means you can interview with them, but I would keep both factors (exits and fit) in mind. You can also double-check the info you got via conversation via research on LinkedIn to confirm the exits from McK and Bain are better.
2) How difficult would it be to explain or switch from one company to another?
You can use the sector focus as a reason, but I would add a couple of other reasons as well (eg people). You can find a structure for that below:
▶ How to Answer "Why us" in a Consulting Interview
Good luck!
Francesco