Why would you want to release your source code under a non-viral open source license like MIT or BSD?
I've never released my work under MIT or BSD. I release about half of my work into the public domain, about a quarter of it under a GPL variant, and a quarter of it remains under a more conventional commercial license.
Companies are not that keen on GPL in any form.
Why is a large company using your MIT licensed code a good thing? Do you expect to eventually get paid for that work, or get recognition, or what?
The amount of hassle it takes in most companies to licence software from a third party vendor is so immense that generally they will spend far more in $$$s to write it themselves instead.
Your average small hobby project or helper library isn't going to every make you any money that way, only something which is both very large/complex, and very desirable, would.
> Why is a large company using your MIT licensed code a good thing? Do you expect to eventually get paid for that work, or get recognition, or what?
It looks good on your CV and might get you a job there.
Yes, for very large corporations. But smaller companies don't have such a large problem with this (and most companies are on the smaller side).