No, it's all the same.
GR does not care about the mass of something, nor does it care about its energy, when it calculates its path. It's always a geodesic and for massless particles it's always a lightlike geodesic. Makes not difference what its freq or energy is.
If it did when light is deflected by gravity, such as the many light deflection experiments done over the years, they would split up into its colors, I.e., it would show dispersion. It does not.
It would be possible if light or gravity is dispersive, i.e., if the speed of light c was different for each freq., or at least in non-flat spacetimes. There is an alternative to GR that says it is dispersive in the large scales of the universe, but alas, it's never been founded in measurements. Do not remember the error bounds, but they've been pretty good. See Experimental bounds on Lorentz-violating dispersion relation
See also https://en.m.wikipedia.org/wiki/Variable_speed_of_light for a bunch of variable speed of light theories, none of which have had any support from measurements.