One time while on the outside of the jets, I was pulled out of supercruise and killed. I wasn't in the exclusion zone. Why did this happen?
If you neither hit the exclusion zone nor dropped manually, you may have had an FSD malfunction.
The FSD takes module damage from flying through neutron star jets. At 80% and lower you will start to get malfunctions that can cause you do drop.
Aha, yes they did fix it, thanks Osser!
I also tested it. You now only get into normal space of a jet if you drop there. If you keep your FSD intact it's no more dangerous than normal scooping.
edit: also that poster is somewhat uninformative imo
You can totally enter at the "dangerous" angle without issues.
What you gotta know is that you gain more control over your rotation the slower you are,
but you also cannot slow down in a jet as quickly as usual (it's a bit like sliding on ice).
Thus you want to enter a jet cone as slowly as possible, which also helps staying in there long enough to super charge (especially on smaller jets), instead of darting through too quickly.
The same applies in normal space of a jet by the way. Because of that it is best to zero throttle while charging to super cruise (a hyper jump causes more heat), so you have an easier time staying aligned with the escape vector (if there is one) - and boosting towards it once the FSD is charged. If you don't do this you risk fighting with an uncontrolled sideway drift, but you always have to align the ship with its trajectory to engage.