Man, I’m feeling totally different now... Lime plaster is exceptionally absorbent, elastic, and antiseptic. A good material.
"Some" primer can very, very easily contain acrylate, it is more likely than unlikely.
Latex paint differs from dispersion paint by the higher content of pure acrylate in aqueous solution. Acrylic can, even in high dilution, very well form a thin film over the good properties of lime, then you have this fabulously encapsulated and could have saved yourself the good stuff right from the start.
My suggestion would be to stay in the system and continue working with mineral material. Primer, for all I care, with silicic acid. Making a wall "appetizing" with diluted paint is an old and proven approach. Paint mineral. You have to wait a bit longer for coverage when drying and also for final strength.
The whole "paint" fair is always full of products where you can, without expertise, apply everything on everything and preferably in a single layer. That’s better not to imitate. Anyone who only has to finish a single object and for themselves should do something good for themselves and avoid physical experiments. Most of it sticks to the wall anyway somehow, but it can be done better without additional financial effort than annulling lime properties with acrylic. By the way, the plasticizers in acrylic off-gas for the entire product life. You can do it, but you don’t have to.
Best regards
Gabriele