Introduction
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The scientific race in reaching high temperature superconductivity ($HTSC$) started by the famous Ginzburg’s proposal of an *excitonic mechanism of pairing* *in metallic-semiconducting sandwich-structures* [@Ginzburg-excitons]. In such a system an electron from the metal tunnels into the semiconducting material and virtually excites high-energy exciton, which is absorbed by another electron, thus making an effective attractive interaction and Cooper pairing. However, this beautiful idea has not been realized experimentally until now. In that sense V. L. Ginzburg founded a theoretical group of outstanding and talented physicists, who studied at that time almost all imaginable pairing mechanisms. In this group an important role has played the Ginzburg’s collaborator E. G. Maksimov, who was an “inveterate enemy” of almost all other mechanisms of pairing in $HTSC$ but for the electron-phonon one - see his arguments in [@Dolg-Kirzh-Maks]. It seems that the recent discovery of superconductivity in a $Fe$-based material made of one monolayer film of the iron-selenide $FeSe$ grown on the $SrTiO_{3}$ substrate - further called $1ML$ $FeSe/SrTiO_{3}$, with the critical temperature $T_{c}\sim(50-100)$ $K$ [@Wang; @QJ-1-Lee; @JJ], as well as grown on the rutile $TiO_{2}$ (100) substrate with $T_{c}\sim65$ $K$ [@Rebec-FeSe-TiO2] - further called $1ML$ $FeSe/TiO_{2}$, in some sense reconciles the 