Tire pressure matters - both for efficiency and performance as well as comfort.
As Curly suggested, experiment to find your preferred balance of comfort vs. efficiency/range - it's the cheapest and easiest modification you can make to your cars performance!
Here's some references/notes - summary: a few psi drop will also drop mi/kWh and your overall range.
In your case, your efficiency would probably improve 0.1 mi/kWh if you go from 36 - 41psi. (+5psi gain)
Temperature up/down also has an effect - about 10degrees (F) to one psi., if weather high/low is more than 20 degrees in a day, set your pressure cold, before driving, in the morning - yes it will go up both as you drive and with the air temp, but setting pressure "hot" will have you below your target in the morning.
3-5psi drop = ~0.1 mi/kWh reduction
43psi seems “good” for maximym efficiency, 40-41psi improves comfort
https://www.tirerack.com/upgrade-ga...W4PsV7YGO1QKOQgHm9c6LPo2cx6mu-7YIzhNpCzMYQkpJ
ORNL Study Tire Pressure vs Fuel Economy 2014. 2009 Corolla (F35/32psi) 75% = 26psi (about 3%)
https://www.energy.gov/eere/vehicles/fact-826-june-23-2014-effect-tire-pressure-fuel-economy
According to the U.S. Department of Energy, for every 1 PSI drop in pressure on all four tires, gas mileage decreases by 0.2%. 1psi ~ 0.2% (5psi ~1% - 1.5%)
I used to SCCA Auto-Cross (car slalom racing around cones in a parking lot) and tire psi made a significant difference in balance and handling - adjusting pressures front/rear could change vehicle behavior noticeably. I would even use an infrared thermometer to check tire temperatures after a timed run and adjust pressure to get surface temperature even from outside edge to center.
Last bit - new tires have taller tread blocks which increase rolling resistance and decrease maximum cornering grip.
As tread blocks wear down, they get stiffer and rolling resistance decreases (efficiency goes up) and cornering grip also improves - part of why racing tires have "no tread" and some competitors "shave" treaded tires down ahead of a crucial event to get a combination of fresh rubber with minimal tread flex...