Industry vs Role for MBA Admission

Hello everyone,

I was hoping to get some guidance on how much of a role industry played vs actual responsibilities when it comes to MBA admissions. For some background, I am currently ~2 years into a top FLDP program (company does ~$70B in revenue, healthcare sector) but have recently been offered a role at a fairly young company (founded in early 2010s, private aviation sector, does a couple hundred million in revenue.)

While my current employer has name recognition that this potential employer does not, the scope of the responsibility at the potential employer is much more. I would be the first hire for this new team they are creating and from speaking with them they have indicated that they are planning on increasing the size of it in the future and "logically I would be in position to then manage that team as it grows".

I plan on applying for an MBA program in the next 3-4 years. Has anyone faced any similar circumstances or seen anything like this? If so, what would you recommend?

Thanks, CFLateral