Is at a single cylinder, in-line 4, in-line 6, parallel twin, boxer opposed twin (air cooled/liquid cooled)?
Mobil 1 10w40 4T is hard to beat in my experience. It does not shear appreciably over longer oil change intervals, especially considering it starts as a very thin 40w. Most/many/all of the 50w oils with a large spread between lower and upper numbers (5w40, 10w50, etc) will shear down to a 40 wt in a fairly short time. My feeling is if I want a 40 wt, there is plenty of evidence to show oils that maintain their stated viscosity (or very close) over an OCI, such as M1 10w40 4T. Using a 50w that shears down to the 40w range does no good if I want a 50w oil because of the higher ambient temps.
With that said, is the Amsoil a 20w40 or 20w50? The column is labeled 20w50, however below that it says “Amsoil 20w40”.
At those high ambient temperatures, please share with us what BMW recommends for your model of bike.