Is the 82-086 the same as 2265 Sash Controls?

The 82-086 is often used to replace the old 2265 Sash Controls handle, yes. Just make sure that your handle also has a 3-15/16" hole spacing and that its thumb lever and key lock are in the bottom position. Those will be the two deciding factors.

It has been known to, yes, but that's not necessarily a guarantee that it's what you have. It works on dozens of other door brands as well. At the end of the day, comparing physical attributes (like design and dimensions) is the best way to confirm. Going by name brand alone is not a reliable method of identification.