I can not agree with this statement.
I would like to support "sucking space-time" as correct explanation.
In
my article (please, notice, it is part of mainstream science, now) I prove, utilizing Rindler's transformation for spherically symmetric case, there is a way to consider curved space-time as locally accelerated photons!
I show, that by trying to accelerate photons we do not change its velocity, but instead, at the end of all calculations we obtain space-time curvature increase, while photons still move with constant speed of light!
It means, that we may try to reverse Einstein's reasoning as follows:
1. Gravity acts as attracting photons
2. Trying to accelerate photons we obtain space-time curvature increase
3. Space-time curvature change paths of material bodies
Therefore, it may be explained as space-time sucking situation.