Is it possible to create multiple UI15 or 16 fields (in multiple modules) that use the same source table for the picklist values?
Yes, this works very well. You have to make sure the fieldname is the same in all the modules you define the list in. In other words, you define the picklist on all the modules and set the fieldname to be the same. You can define the values in any of the modules and they share the values.
Great, thanks! I'll get experimenting...