For me the wood selection depends on what sound I'm after.
Classic Fender P bass tone - standard size alder body, maple neck, rosewood fretboard, split coil in p bass sweet spot with passive controls.
Snarl/growl in your face tone - small size but heavy dense body wood, dense neck wood with matching fingerboard and EMG or MEC pickups close to the bridge and a EMG BT or MEC preamp.
Deep dark smooth tone - large size mahogany body, rosewood neck, rosewood or ebony fretboard, bartolini pickups in the precision sweet spot with an East preamp.
Strong mid presence - standard size walnut body, maple neck, maple fretboard, pickups in standard jazz position with Aguilar preamp.
Bright snappy crystal clear tone - small size maple body, maple neck through, maple fretboard, EMG dual coil humbuckers with coil split and a Pope or Audere or East preamp.