Read what I said again.....I did NOT say that QS was your problem.
I described what the timing light will show when QS is active.
Regarding QS.....At startup, every time the engine is started, QS goes active for about 10 seconds.
The engine will race up in it's idle speed a bit...maybe up to about 1100-1200 or so, and when QS drops out, the idle slows, stabilizes, and the engine steadies out
at (hopefully) about 750 in the water.
The point when QS drops out is very noticeable. Are you seeing the above behavior? Can you detect when QS drops out?
If it never drops out, you must ensure the throttle link and sync is correct. You may have it idling so high that you cannot detect when QS is active or not.
Again, if it never drops out, and linkages are right, then a QS failure could be caused by either the pack OR the timerbase.
After it clears up, as you state that it does, please post up the actual idle timing value and the associated RPM. You should see about 750, and about 4*ATDC if all is right.
Check timing on #1 at time of immediate startup. It should be dancing around as you describe for about ten seconds, then steady right up when QS drops out.
If you PM me an email address, I can send you a PDF of the chapter in the Evinrude manual on the ignition system.