I'm a bit puzzled because this lug pattern and a 6.5x15 shell is usually called a "School Festival" and came with a P-83 strainer to begin with. The "Symphonic" was 6.5x14 (not 15) in the catalogs I'm looking at for 1964 and 1967. And yes the "Symphonic" came with a P87 classic strainer (as did the 5.5x14 Super Classic snare). But not in 15" diameter. Odd.
Now I'm curious...
I am less knowledgeable than you are, but would it even be possible to tell the difference between the Symphonic and School Festival if it weren't for the strainer?
I have a School Festival from the early 70's (still very slowly "restoring" it :p) and, luckily, it had one of those paper things on the inside with a date and type number, which made it easily identifiable.
But otherwise, what are the differences besides the strainer and the availability of a 15" diameter?