"The scavenger lands" is an area that covers hundreds of thousands of square miles of territory.
The Seventh Legion are not Realm dragonblooded; they are not Exalted who have a reason to want to kill a Solar just for existing.
They are okay at killing Solars who haven't gotten their bearings yet. There's a reason they send (at minimum) five capable dragon-blooded and hundreds (or thousands) of mortal soldiers after each individual Solar -- and this is for Solars that have only just Exalted.
There's a reason that it took millions of Dragon-Blooded with the backing of the Sidereal host to take out the Solar Deliberative in the First Age, after all (and that was a costly attack!)
I love how you ignore the fact that roughly half the dragonblooded sided with the solar during the usurpation, and that all but 12 solars were wiped out in a single night. Also, how many solars were essence ten. Also, the Seventh legion is made up the same way the shogunate was originally, and thus according they hunt solars. Because it was the sidereal run shogunate that originally started it. That's stated in plain terrain, since there is currently a general of the seventh legion hunting her solar daughter.
Also, they would have killed the experienced bull of the north despite his full circle if it wasn't for Lunar's with Celestial circle sorcery intervening. This is documented in the scroll of exalts. Until you get to essence 4+, the dragonblooded are skilled at killing solars. Why do you think not many of few that weren't captured in the jade prison haven't survived. I'm using setting detail for this information, not how personal games or forums indicate it as.
Also, as per cannon, the dragon blood host is only 10k strong, world wide IICR. 7th legion is mostly mortals,
Partially Wrong, the dragon blooded host is 10k strong, meaning the realm, thus the statement of the hegemony of ten thousand dragons. I've read the setting detail of every book, and find it very fascinating. And yes, mostly mortals; but a city that big isn't comprised of just 7k people.