In thermodynamics, spontaneous means that any energy available in an object for diffusing will spread out if given a chance.
The applied energy and its result are indeed quantifiable mathematically, but it has nothing to do with design. Its a part of the natural interactions between atoms. Being quantifiable mathematically does not imply design.
So if it's just natural interaction between atoms, and there is no apparent design, then it is a matter that attains to the level of "scientific." And it would be an "unscientific" notion to posit that perhaps what appears to be "random" or "unguided" may actually be designed and executed according to established rules, laws, etc. I see.