Does it though, by itself?
That assumes all new players must find new systems
If you don't leave the bubble or stay to the beaten paths
The trip to the Pleiades is still considered "too far" by some players, so they would likely never add to the exploration of the galaxy despite playing
The statistics I provided (the 37k systems) was from my codex stats page, it doesn't differentiate virgin from tagged systems. Obviously I know the lions share of those systems were virgin territory.
IIRC David Braben said the average time played was 60hrs (I have played just over 6,500hrs) and I think 55% of all players don't buy a new ship, a stat that probably came from XBox achievements or similar.
I think the 0.036% of the galaxy statistic Paige provided is a little misleading - most of the galaxy is pretty homogeneous, and anecdotal evidence suggests the proportion of discovered systems where
most players would typically actually be likely to visit (ie regions near tourist hotspots like nebulae) is much, much higher, the issue the OP is facing. Just getting your name in the stars is not that hard. Getting your name on a system another player is likely to visit is probably more of a challenge now.