People are going to have to shoot this down where I got it wrong...
... OE recommended oil viscosity is best. Your owner's manual gives very good instructions on recommended viscosity based on your local climate, but a 10w-30 or 10w-40 is the best choice for most climates in the U.S.
Modern specs of the oil we can buy today, have the 5W-30 in the TSM not covering the temperature range of where I am. 5W-30 will cover most of my low temperatures, which 10W- will not. And there's a lot of places in the U.S. where the low drops below the 10W- limit of -30 C (-22 F), and in places even below the -35 C (-31 F) limit of 5W-. And that low limit is the Pumpability Max Viscosity - oil will have
some flow. With modern oils, the typical viscosity is more interesting.
W grade Cold Cranking Max Viscosity (in mPa∙s), Pumpability Max Viscosity (in mPa∙s), typical @ -30 Cand min Viscosity (in mm²/s) at 100 C :
SAE 15W; max 7000 @ -20 C, max 60,000 @ -25 C (-13 F), min 5.6 @ 100 C
SAE
10W; max 7000 @ -25 C (typical ~4400),
max 60,000 @ -30 C (-22 F) (typical ~24,000), min 4.1 @ 100 C
SAE 5W; max 6600 @ -30 C (typical ~3600), max 60,000 @ -35 C (-31 F)(typical ~14,000), min 3.8 @ 100 C
SAE 0W; max 6200 @ -35 C (typical ~8900), max 60,000 @ -40 C (-40 F)(typical ~16,500), min 3.8 @ 100 C
and viscosity on the other end
SAE 30; @ 100 C, min 9.3, max 12.5;
SAE 40; @ 100 C, min 12.5, max 16.3
Those are the limits allowed. It's always interesting to see what actual specs are or aren't published for different products. Wish I had an oil pressure gauge to watch with cold weather startups. And a flow meter would be golden.
Typical viscosity for modern SAEs, @ -45 C, -40 C, -35 C, -30 C, -25 C, 0 C:
10W; ~210,000, ~96,000, ~47,000, ~24,000, ~13,000, ~11,000
5W; ~52,000, ~26,000, ~14,000, ~7,600, ~4,400, ~500
0W; ~33,000, ~16,500, ~8,900, ~5,000, ~3,000, ~375
For the Ws, as temperature drops there's a huge difference in viscosity, hence flow, which is what gets the oil to where it needs to protect.
For the temperatures I will hit, 10W just doesn't offer good oil flow for startup. 5W is significantly better, flowing more at lower temperatures. And 0W does meaningfully better at -30 C and below.
With the "thinner" Ws, there's lower viscosity for more flow when starting.
As the oil warms up, the viscosity is always above the minimum recommended oil viscosity.
Oil temperature is usually within 8 C of the operating temperature (told; don't know if true). With an oil temperature around 190 F to 210 F, the viscosity stays in the teens, with the 40s less thin. A modern oil will maintain its shear when within specified temperatures.With 40 vs. 30, the 40 better resists thinning out if oil temperature goes higher.
I think I may see why vehicles in a warmer climate use a lower coolant thermostat and in cooler climates a warmer thermostat: the engine oil is more likely to be closer to the 195 to 200 F sweet spot?