Big Companies and good brands hiring from top B-Schools and colleges like TAPMI/IMI know the students they are hiring have already been through some rigorous checks, so their job is half done, and they don’t want to just hire and train them. While the small companies and brands can’t get into top B-schools, baby IIMs welcome them and they can easily train them.
As the baby IIMs will grow old they will start getting big brands as well, so don’t discard them easily. IIM tag is after all the same for all and it matters.
Best of Luck !