If you go to a higher octane fuel you should see better mpg. running around town with low level octane fuel will more like cause KR detenation. If the PCM detect KR, it will reduce spark timing (lost power). the 3800 engine don`t start cooling down (fans ON) see 220F degree (WOW). so since heat is the cause of detenation and you engine is already at 220 (15 degree for boiling over) it will be wise to use a high octane fuel to surpress any KR. high level octane has be proven to reduce KR. so you have two option.
lower the coolant temp to around 170-180f degree and you will be fine running around town with low level octane fuel.why? the engine will be able to burn the mixture be on its FLASH (KR) point and see minimal kr, BECAUSE the cylinder walls and water jackets (coolant) will extract the heat right-away help surpress KR/FLASH POINT.
if you can`t reduce your coolant temp them it will be wise to stick with higher octane fuel.since the engine is already close to boiling over.
If your fuel management is a OBD1 OBDII you should see an increase in mgp. WHY? the OBD system is set to meet a predetermine A/F ratio. The O2 sensor will be able to determine which fuel the engine is buning base on how hot (burn rate) the sensor gets. the GM 3800 engine must see .780mv at the o2 sensor for a proper a/f ratio, if this mv (millivolt) is to change the ecm is adjust/correct (impedence) the injector ,so the O2 sensor maintain a .780mv (OEM setting). this is the #1 reason everyone tune from a O2,EGT, and wideband all do the samething, accuracy is the differance.
so since 87 octane burn at a lower temp than 93 octane before KR/FLASH POINT sets in.
Think of octane has BURN-RATE. lower octane (87) burn around 1400f degree when high octane (93) will burn at 1800f degree. the hotter you burn the power mixture (fuel/air) the more power you will make until flash point sets in. also remember FLASH POINT/KR can be control, by moving the heat quickly to the water jacket and interior cylinder walls.
example: a .44 mm had gun will carry it projectile alot far then a .38mm hand gun.
the gun power is your octane. the more in the more out. if you pack the gun/cylinder with the correct mixture the more power you will make sending you projectile across the sea`s.
the end.