Sudden changes can cause problems with many materials.
Bedding compounds need time to "cure" and may off gas or perspire.
An appropriate time for the surface material to become acclimatized is needed.
[broken link removed] in particular seem to be problematical, especially if laid over timber floors or in places they can get wet.
Travertine has voids and the wetting of the tiles in shower and kitchen area may contribute to the problems I have seen.
Regardless of material, it is useful to start heating at the lowest setting and raise this only very slowly.
I found some generic comments on tiling
here, but I would heck with your tiler/supplier for detailed recommendations.
During any heating process, moisture still in the materials may be driven out into the atmosphere of the room or surrounding materials.
Timber is sensitive to humidity and heat so follow the floor suppliers/manufacturers recommendations to the letter re the timber floors, because if not you may adversely affect the guarantee.
ONQ.
[broken link removed]
All advice on AAM is remote from the situation and cannot be relied upon as a defence or support - in and of itself - should legal action be taken.
Competent legal and building professionals should be asked to advise in Real Life with rights to inspect and issue reports on the matter at hand.