Calcium based grease will be fine in bike bearings.
Not sure what's out there in NLGI#1, but you could look for a 'low temperature' or 'arctic grease'. Sometimes in extremely cold climates an NLGI 1 will be substituted for an NLGI 2. I think there are specialty 'NLGI 1.5' greases for bike bearings.
Don't go down the rabbit hole of Aluminum complex greases if you can avoid it. While these are typically more water resistant than Calcium or Lithium based grease, Aluminum complex grease is getting very difficult to find. Likely because it's very expensive to manufacture compared to Lithium or Calcium based grease. When I researched this issue a couple years ago, I was only able to find a few Aluminum complex greases readily available: Bel-Ray (found at a motorcycle dealership), Royal Purple (found at a Napa), and a couple of Schaeffer's variants (Amazon).
There are more specialty manufacturers out there, but typically only available in case quantities vs. the single tube I needed. It's still popular in construction, mining, and manufacturing as far as I know.
Expect to pay about 3x-4x as much for Aluminum complex grease vs Lithium or Calcium.
I still have half a tube of Moly/Graphite fortified Aluminum complex high temperature grease from back in the day when I worked for a specialty grease manufacturer, it's probably over 20 years old now. Not sure if they still make it, if they do it's probably $200 a case these days.