I see the paper as a bunch of examples and arguments, which arent the "real thing" but serve to make a vision more plausible. For me the vision and thinking of howto make the arguments complete is the focus.
As i see it the vision is that that dimensionality and connectivity, is just a way of coding information. The various correspondence principles is EXAMPLES of this within current theories. Also time evolution seems connection to some kind of computation (although i am not personally fond of the terminology, i like to think in terms of random walks guided by priors, rather than "computation", but once you think abbout it they two views are similar), and thus the examples of relating computation complexity with BH expansion.
Regardless of the fate of string theory, I definitely don't think these is just conicidental notes. I think there is something profound here, that lies at the core of the problem of theoretical phyhsics: foundations of QM, QG, renormalisations etc that is yet to be revealed, understood and formalised. I think the core vision here
has nothing a priori todo with string theory.
Connectivity and metric spaces are also naturally related to information divergences and also intuitively complexity will spontaneously form as a way to encode as much information as possile, given finite capacity. And what ought to happen when two such systems interact? Well likely a negotiation resulting in an attractive force along the dimension where they are connected. Most probably a universal one, regardless of details (much like gravity). So there are many more examples that adds up and supports such a vision where the information perspective of QM likely can EXPLAIN gravity, and then i do not mean "explain" just as in string theory, but explain it in a way that is independent of string theory so that whenever you have "interacting" "computing" observers, trying to take control of their environment, a universal attraction is unavoidable. It will be implied.
This is my reading out what what susskind says with "whenever there is QM there is Gravity". But of course, that makes no sense if we are just talking about regular QM. I think we need to improved its formalism, then and only then will these connetions be clear also so mathematicians will understand them.
/Fredrik