The speed of light is constant, c. A more massive body will bend light more than a less massive body due to a stronger deformation of the space-time continuum.
In "Physics of Gravitational Fields" in the order of the Theory of Reference Frames it is proved when light goes into a gravitational field with radial direction, its physical speed is as much greater as mass of the celestial body that generates the gravitational field is greater. It is demonstrated the physical speed of light that goes into a gravitational field with radial direction is
c = coSQRT [1+ Ds/r]
where Ds=2GM/co2 is the Schwarzschild distance of the mass M that generates the field.
Calculations prove besides increases of speed are anyway small in the useful space.
It will take longer time, since a photon will have to travel a longer distance in curved space-time than in a flat geodetic, the latter would be the case in the absence of a massive body.
Stronger pull is not going to accelerate the photon.
it is manifest that your way to see research belongs to an old way, that doesn't consider the fact that today the best communication and information happens on open chanels. I published only my first paper on a peer reviewed journal, then I changed idea and I don' t have regrets. This is sure: you may find bad papers whether on open chanels or peer reviewed journals. Every researcher must have the ability to understand that.