Interesting tidbit there. Any idea where you came across that info?
How naval infantry brigades ended up with more SVTs?
This is an extensive topic. If you are looking for a direct quote, I can't give you one. Things I remember from reading various books on history of the Soviet Navy.
Navy had a higher relative percentage of SVTs than army to begin with. So when naval battalions started to form from ship crews and base personnel in 1941 they got more SVTs and tended to keep them longer.
Pretty much any period photo has sailors with SVTs. What vets later told was that they posed for photos with "coolest" guns possible and even used crossed MG belts for an added dramatic effect. In reality they were using stripper clips to load, not pulling rounds one by one from a MG belt.
Mosins were very common in 1941 but later replaced by sub-guns as Naval infantry tended to be used as shock troops. SVTs and later AVTs were retained as squad support weapons (what is usually called a Navy stock in NA, is just an AVT stock). They also tended to have more DPs, if available.
Naval infantry formations of 1941 were very different from formalised naval infantry brigades of 1942. But even in 1942 they still tended to be extremely light compared to army counterparts, lacking anti-tank, anti-air, support artillery and logistic train, reflecting their use as a shock landing force.
There were also Naval Rifle Brigades. Those were on Army's TO&E and only thing naval about them was the source of manpower.
SVT's gas system fouled fast due to the use of land-lease gunpowders and required extensive cleaning. Adjusting the gas system involved a partial disassembly of the rifle and a tool, so rifle was usually left overgassed to deal with fouling of the gas system.
Army recruits with any technical knowledge/experience were directed first to tanks, artillery and signals. Rest to the infantry. So it usually got peasants and non-slavic people with rudimentary command of russian.
Army TO&E had SVT-40 and AVT-40 up to the end of the war, but any late war photos show troops with mosins and subguns, SVT photos are rare.
Irrelevant tidbit, SVT had a nickname SVeTa, SVeTka, which is short for Svetlana.