What is the influence of glass type on silver mirror making?
It is not so much the glass, it is the contact between the substrate and the reflecting layer.
Some of the problems with the silver/glucose approach, like their optical imperfections is related to the bad adhesion of elemental silver to glass.  The «normal glass mirror» in the bathroom thus uses a tin layer between the cleansed glass, and the subsequently added silver (mostly) responsible for the reflection.  Discovery channel once  aired brief documentary about this; the more interesting part may be still seen on youtube here.
Modern mirrors for telescopes and optical instruments in general do not use silver, but aluminum; the reflective surface is now not behind the glass, but on top (first surface mirrors).  One of the reasons to use aluminum instead of silver is that silver darkens over time (think about the formation silver sulfide, already on cutlery), while aluminum oxide forming on top of aluminum still is transparent enough (for visible light) that these mirrors are aluminized about once every two years only.  Willi Koorts shows the procedure in a about 20 min video here on small scale: washing the mirror, remove of Al by KOH, washing, deposit of Al in high (real high) vacuum.  (This shows the operations at a larger, $\pu{8 m}$ scale.)