SG is WAY closer to a LP than a HH Strat.
Gut a Les Paul of it's pickups and wiring harness and drop those charms in a hard tail Strat, use the next lower string gauge to account for the scale length difference, and the same tones are there too.
The reason the SG doesn't match is because the neck pickup is pushed back toward the bridge by the extra frets so 2/3rds of its tone is different than a LP. But then you gigged the SG out of LP headstock anxiety?...
Fixed it for you.Claptons best tone...hmm Strat
Becks best tone....hmm Strat
Page best tone...hmm Tele
Ronson’ s best tone...Hmm Who cares
Eric Johnsons best tone...Strat
Bonamassa’ s best tone...Hmm Who cares
I could keep going but more proof doesn’t convince the tone challenged.
when did Page become a part time Strat player?No. Does not make everything sound better.
There is no guitar that "makes everything sound better".
The fact that Clapton, Beck, Page and EJ all became well-known fulltime or part-time strat players is all the proof one needs of that.