TAP says that the set of observations of things we have is not a random set of all things; there is observer bias.
TMWI of QM says that the universe splits to accommodate every possible collapse state and time of every wavefunction.
These two models seem contradictory to me because if TMWI were true, TAP would predict that we live in a universe in the branch of universes that split at a (near) maximum rate since that branch contains the vast majority of the "many worlds"). We do not live in a universe that has wavefunctions collapse at the (near) maximum rate, thus TMWI is false.
The only issue with the above reasoning for me is that a universe that has wavefunctions collapse at the (near) maximum rate is very unlikely to have observers so no wonder we don't find ourselves in such a branch of universes! But the current rate of wavefunction collapse in our branch is still far below that of the rate that can still avoid destroying us the observers so we should still see a vastly faster rate at least, though not the (near) maximum rate, if TMWI was true. Or is the case really that we do live in the branch that has the highest rate of wavefunction collapse times the rate of asapiogenesis?
