My approach has always been; If in doubt apply 'Flying After Diving' recommendations. Special consideration would have to be taken if further repetitive/multi-day dives were planned.
With specific regards to hot tubs/showers (also massages, exertion or even ice-baths)... it'd be the changes occurring to your cardio-vascular system that could impact safe off-gassing. As a general rule of thumb, any factor that causes you to off-gas at a different rate to which you have on-gassed must be considered suspect.
Whilst there may not be proven or calculated risk factors, differences between on-gassing and off-gassing efficiencies are certainly throwing you off-track from the algorithms you have/are using to track your nitrogen saturation. Given that such algorithms/tables are built upon statistics, it may pay dividends to make every effort to stay within the parameters of those statistical norms...