IIM Bangalore is certainly not losing its name. According to NIRF MBA ranking 2022, it is the second-best management institute in India, followed by IIM Ahmedabad. QS Global MBA Ranking 2021 placed IIM Bangalore at 35 out of 150. It is one of the top B-School in the country and joining the institute is the cherished dream of many MBA aspirants.
The short answer is No. Not only IIM Bangalore, but no business school loses its name based merely on rankings.
Thus, IIM Bangalore's absence in rankings is simply a result of a lack of participation. At the end of the day, a couple of rankings won’t defame any institution's name.