I agree with you. The $6k support even though strong right now, doesn't seem to me at least as the definitive bottom of this bear market. Currently, we're seeing no signs of an immediate trend reversal, which means that prices are going to most likely move downwards slowly in individual dips.
However, I would not say with such certainty that this will definitely happen by the end of June.
You simply never know in such volatile market conditions, especially when we're still in the process of consolidation. It could take much longer than 3 weeks for the $6k support to be broken, even though I think it will eventually. On the flip side, it could be a matter of days if negative regulations and press coverage affects markets in a drastic way.