What carbs do you have?
You say you cleaned out the jets, but the pilot jets are very difficult to clean on mk1 concentrics, some would say impossible without modification (search Old Brits guides for this).
Carbs also wear: slides, bodies, needles, needle jets all wear.
50 plus year old carbs WILL be worn. They could also have none standard jets / needles.
So, stripping the carbs to verify what slides, needles, spray tubes, jets you have, and what condition they are in, is a needed step.
It’s similar with the ign: wires, black boxes, pick up plates, HT leads, plug caps, etc can all suffer age / use related degradation.
So… when it comes to problem solving on a 50 plus year old bike like this, it is often NOT a case of searching for one finite root cause, it is often a case of several contributory causes (each one quite minor alone) combining to cause your symptoms. Therefore, what is required is to ‘confirm / revert to standard’ with the relevant systems / parts.
You DO have one known issue, the coils. IMO you are pissing in the wind trying to work around this. You need a good spark, so having the correct coils is a real no brainer.
Then, you need to calmly, methodically, go through and rule out all of the potential contributory causes mentioned above and confirm / revert to standard condition, which means repairing or replacing parts that are incorrect, suspect or worn.
If it were me, and I wanted a good starting and good running bike (and some will disagree with this), I’d put a Tri Spark ign and two new Tri Spark coils on it straight away.
Then I’d strip the carbs as mentioned above and make a decision on them. Meaning, if they’re good and just need a clean then I’d use them. If the bodies are worn, or if I had to spend a lot of money on new parts for them, I would bin them and fit new Premiers.
I know you’re trying not to waste money, but I assume you don’t want to waste a lot of time either right, and want a nice starting and running bike? At the end of the day, a new Tri Spark and a pair of Premier carbs really does provide an easy starting, well running machine (provided the rest of it is ok of course). If you’re planning on keeping it and enjoying it for many years, it’s really not a big investment to make on a bike and is a quick way of ruling out dozens of potential issues.
By the way…
@SteveBorland is based in Denmark and has (or had) a pair of Premier carbs for sale… they’d be much cheaper to ship than new ones from England I imagine.