Absent freezing or boiling water will expand / contract by less than 1% at the sort of tempartures changes one is normally likley to find going up and down troodos while air volume for a given mass will (unrestricted ) change by a factor of 1.24.
In a reasonably flexible bottle say half full of water therefore the change in temperture will not cause any significant change in the volume of water and will not contribute signifantly to deformation but relative changes in air pressure acting on the non lquid part (and liquids cannot be compressed) will.
As for the experiment suggested by GR - here is one GR did earlier.
Do not try this at home.