Not really. Perhaps if you were to purposely touch the bath with a live conductor.So it would seem that the same piece of wire can be either a bond or an "earth" depending on which fault occurs to affect the bath.
The bath, which is not part of the electrical installation, is unlikely to come into contact with a live conductor.If there is a LOW impedance fault connection between a live conductor and the bath then the wire is an EARTH that carries enough current to trip an over current device.
Should you have a bare live conductor left under the bath which is likely to 'curl up' with the heat or moved by a mouse then you may consider it advisable to 'earth' the bath even if it does not need 'bonding'.
No, if you consider the HIFC directly between the live conductor and the bath likely that would still be 'earthing' - had you considered it necessary even though 'bonding' was not required.If there is a HIGH impedance fault connection between a live conductor and the bath then the wire is an BOND that carries enough current to keep the bath at the same potential as other metal work in the bathroom. This current may not be enough to trip an RCD
The purpose of 'bonding' is to equalise potential between simultaneously accessible extraneous conductive parts in the bathroom when a fault occurs elsewhere (not at the bath).
The purpose of 'earthing' is to cause the OPD to operate in the event of a fault in an accessory or appliance.