No, DNA doesn’t scream ‘higher intelligence’. Rather it seems to me to be an evolutionary advantage over RNA in one environment that permited other evolutionary advantages in other environments.
Why DNA? It didn’t have to be DNA from RNA It could have been Per Oxy Ribo Nucleac Acid (PORNA) and then all our browsers would give us bad hits for things we technical folks didn’t want to look at. Luck!
Actually they both had to be created together - DNA and rNA - at the same time by an intelligent being. Let’s not forget evolution has no answer for abiogenesis - the same as you really have no answer for the beginnings of the Earth and Universe. Just mere conjecture that leads you in circles. Hurtling turtles all the way down...