You basically argued the sword doesn't scale to Reinhard stats, i am saying you can very well argue it.
That isn't what the page says, it's indicating that the stats of the sword are that, not himself.
To further this, the P&A lists Statistics Amplification for specific blessings, but nothing about Reid. All of the High 6-C statistics are Reid's.
Cecilius base stats so to speak seem to be far above people like Julius, but clearly not Reinhard level. His swordsmanship is said to be Wilhelm level, though you can maybe argue swordsmanship isn't equal to strength, however its also stated Theresia would give him a good fight. The conditions of that fight aren't stated, so you could take it as a Cecilius without his best swords.
A nerfed Reinhard, one who was intentionally letting himself be weakened by a collar in Ex Novel 4 was able to causally beat Cecilius however as stated by Cecilius himself and shown in the Wrath If, he performs better with his best swords, even going as far as severely wounding Reinhard with Reid drawn.
You can very much say it's likely Cecilius best swords boost him, as he harmed a unnerfed Reinhard in terms of physical stats (his blessings were weakened however) and both those swords, Murasame and Masayume, along with Reid are classified as enchanted swords, and even seem to have a will of their own, though Reid is said to be the greatest.
Also in the Wrath If, Reinhard with Reid was unleashing attacks which shook the whole building, clearly aoe like he normally does, and that seemingly went for a while, Cecilius would probably himself likely/possibly to be as durable to survive, as his swords unlike Reid so far have shown no energy blast aoe stuff to even counter Reid's.
Anyway a lot of stuff involving the god tiers are still shrouded in mystery, heck Reinhard vs Cecilus in the If was offscreen, so how stuff scales is open to interpretation, but we have a definitive tier for Reid, honestly not too concerned how it's rated on Reinhard's profile for now.