Dear Vladimir,
1/ Illusions, created by an illusionist, work primarily through cultivating misinterpretation due to incomplete information and misdirection. The essay points out these same mis-judgements in physics. There is misdirection due to category errors,( I.e. muddling up types or misinterpreting the aspect of reality under consideration) and not taking account of the Object reality source -of the observable measurements and other manifestations, (incomplete information)
I have been very precise in identifying where exactly the problems lie, thereby allowing solutions. Rather than just indicating that there are problems- in a general but indefinite way. I have not read Professor Tatiana Romanovskaya work that you cited and could not find it with a quick search. So I do not know what precisely her conclusion is to agree or disagree.Yes there are problems to do with representation and interpretation within physics and I have given specific examples.
2/ It really does depend on the circumstances, whether knowledge or imagination is more important. No one way of thinking suits all circumstances. I would like a mechanic to use his knowledge to fix my car not his imagination, though a good mechanic may be imaginative in the application of his knowledge.Where the knowledge needed to proceed is absent or inadequate, or there is no precedent imagination has an important role in generating novel outcomes and possible solutions. It can open up new paths to explore but there is no guarantee that the new path is the correct or best way to go.
3/ The essay concludes -"Physics must leave behind enchantment with mystery due to Incomplete reconciliation of information and misdirection of category errors; adopting the Essential structure of reality as a necessary framework for physics, not required by pure mathematics."
That necessary framework provides a whole facet of reality for experience generated from sensory input. Image reality - an emergent, 'other level', sub set of the Entirety of reality. Thank you for the questions. I look forward to reading your essay, Georgina