This may sound odd, but in my many years of experience with cars and trouble-shooting intermittent issues, I learned to check the battery first. I know I've said this in here already, but these gremlins sound so much like what we struggled with when the Alfa Romeo Giulia first came out.
In addition, I had a Toyota Yaris about 12 years ago that I used for commuting that had trouble idling smoothly and always seemed to run a bit rough. I replaced the plugs, air filter, etc. No change. After doing some research, I read an article by a guy who'd had similar trouble with his truck, and it turned out to be the ground wire from the battery to the truck. He wired up a ground wire directly from the negative terminal of the battery to one of the bolts that held down the ECU, and magically his issues resolved. I thought I'd try that, and lo and behold it worked. The car instantly idled so smoothly I couldn't even tell the engine was running. It was a manual, and usually I could see a slight vibration (and feel it) in the shift lever. Nada. The car ran great from then on.
I don't have an Emira yet so I can't check this myself, but try looking at the connections to the battery, both positive and ground. See if there's any oxidation on the battery terminal posts, and/or the cable connectors themselves. If there is, you can get a small post cleaner tool at any auto parts store that will let you clean both the battery posts and the inside of the cable connectors.
Cars that sat outside for awhile, especially if the ground terminal was disconnected to keep from running down the battery, MAY have developed that gray oxidation on the terminal and/or connector, that can interfere with a good solid connection. It's something that's easy to check, and if the posts and connector need cleaning, that could possibly solve these intermittent random gremlins some of you are reporting.
