Only problem is, that you are only getting one in the lower bruteforcable range and then can jump from that one and can determine the other 32 private keys.
Prime example...your statement is not true as to what I am saying/doing.
I am not jumping from any key to another key...there is no magic jumping.
I can take the pubkeys generated, and search a different range, not the "lower bruteforcable range", and find the priv key to the original pub key. All pub keys created after dividing can be found in a same sized range. And my tests so far, I am actually finding 2 pubs per range that leads me back to original pub key's priv key.