This type of approach are often seen as an attempt to relate between the public key and (even/odd) privatekey in last few years.
You can make an experiment. Generate from 1 to 1billion all privatekeys, their corresponding publickey. Isolate them into 2 groups based on 02 or 03. Now try to relate this +/- pubkey observation to the PrivateKey. You will get nothing.
Otherwise anyone could have broken any 256 bit pubkey in just 256 loops of conditional division by 2 untill reach to 1.