My suggestion is to never use a bit-score, and don't even know how you came about that idea.
Bit-score is length-dependent, which means that longer sequences have larger bit-scores. You will never get a bit-score of 2000 for a sequence that is 150 residues long. This is to say that a bit-score reflects the relationship, but also the length of a match. We can have a bit score of 250 between two long and unrelated sequences, while the same score between the two shorter sequences will reflect a true relationship.
Hopefully you know what is coming in this section: E-values are length-independent, which is why they reflect the relationships better than bit-scores.