I have heard that plexi is porous. .
Are you are asking if acrylic is an impermeable membrane, the answer is NO. If you are asking if acrylic will prevent changes in humidity, the answer is NO.
So the question is, what is this knowledge useful for? Why would the porosity of a piece of acrylic come into play in this design scenario, especially if it is inside a frame using glass as the primary glazing material?
The op refers to "sandwiching" the book. That implies that there will be contact and pressure. I would be more concerned with ferrotyping from a smooth surface remaining under pressure with direct contact to anything, let alone a gold seal.
Also, when is a "book" a "book?" Sort of like saying today a "photograph". (Could be traditional silver based printing on fiber based paper, a resin coated photograph, an ink jet print, a dye sublimated print, etc.)
A "book" could be printed using traditional lithographic processes on rag paper, on wood pulp paper, or could be a POD (print on demand) using an ink jet process or worse yet, a xerographic process (heat infused toner based) which will surely stick to acrylic in left under direct contact and exposed to changes in heat.
Jim Miller might be able to weigh in on using Mellinex but I would also be concerned with the direct contact. It might be better to use Stabillitex. Again, Jim would be a great resource.