I’ve farted about with different greases for years, Castrol LM, white lithium, teflon lithium, Pro RG2, Rock n roll superweb, Finishline ceramic, even some fancy stuff used to lubricate the threads on auger casings.
They all lubricate adequately.
What becomes an issue after this is their persistence – how long they stay in a bearing, if they naturally dry out and how well the resist water.
Like everything, its a compromise. Go thin and slippery and your bearings will run beautifully, but won’t stay like that for long without needing a re-grease. Go sticky and increasingly water resistant and bearings start to drag but don’t need as much attention.
Some applications, like Turner bushes, benefit from a thinner less sticky grease that can migrate with limited rotation, some others don’t.
Top of my list of general bearing grease is Shimano Dura-Ace grease, but you won’t like the price!