I installed one a few years ago too, and also used the factory coil, with no problems. After a while, like you, I began to wonder if a new coil might be better so I swapped out the coil for a new one.
I'm glad that I did this because even though there was no difference whatsoever in performance, the old coil netted me $42 on EBay! So after all was said and done, I ended up with a new coil - FREE!
On their death bed, nobody ever said, "Gee I wish I'd spent more time at work!"
'68 Sprite 1275
'76 Midget 1500