I'm going to single out two chasers here. Daniel/Greg if you're reading this, I apologize, but your experience was very well documented and is a useful learning tool. I love your videos, and am glad you made it out relatively unscathed.
The conditions:
4000+ MLCAPE -
http://www.spc.noaa.gov/exper/ma_archive/images_s4/20130531/23_mlcp.gif
45kt SR 9-11km Anvil Winds -
http://www.spc.noaa.gov/exper/ma_archive/images_s4/20130531/23_ulsr.gif
1.7 pwat -
http://www.spc.noaa.gov/exper/ma_archive/images_s4/20130531/23_pwtr.gif
SR anvil winds of 45kt and 1.7 pwats suggested that the El Reno environment was likely to be more on the HP side of things. 4000+ MLCAPE says two things to me: that updrafts won't have a problem being weighed down by water, and that crazy things can happen.
Warning sign #1 - before initiation I would probably be having the discussion with my chase partner about how we're giving storms a wider berth and trying to stay out of the bearcage because the name of the game this day is "violent tornado potential, unpredictability, and lots of precip".
https://www.youtube.com/watch?v=2SbQ1hbrLLA#t=2698
They are behind the tornado to the west. Note the wind/rain flowing into the tornado, "pointing" at it. They make a decision to stay off dirt roads, which is wise in this scenario. But they're starting to be in precip so they've fallen behind. The stated goal is to hook slice/drive through the rear precipitation area, and come out ahead of the tornado.
Warning sign #2 - trying to get ahead of any tornado west->east through precip is usually a really bad idea.
Warning sign #3 - "I didn't notice I40 has changed direction slightly to the southeast, placing us closer to the tornado"
"Slightly" is an understatement - it's a 2 mile drop to the south. Losing that situational awareness that you are now 2 miles closer to the tornado is a bad thing. Core punching is different in that you can have a very wide margin of error. When hook slicing/coming from the rear, you have a much smaller window. If you're not in the hail core, that means you're between the hail core and the tornado usually. A two mile error in this zone is a pretty big deal.
Note the wind/rain patterns. They're pointing to the SW, they're ahead of it for now, but it's heading in their direction.
https://www.youtube.com/watch?v=2SbQ1hbrLLA#t=2914
Warning sign #4 - 30 seconds later, surface flow is pointing to the S. They're no longer gaining ground on the tornado, and you can hear Daniel say that he has to slow down because of hydroplaning. At this point there are signs that your plan to beat the storm will not work, and then you have to slow down even more. Alarm bells should be going off, because you've realistically lost your chance to get ahead of it. I never try to get ahead of a tornado when doing this, so when surface flow points to the south, I stop and let the tornado get ahead of me. You know the condition of the road to your west since you just drove on it, and you know the tornado isn't likely to swing around or form upstream, so west is a very good escape route when hook slicing. You give up on the storm and let it safely pass in front of you, while staying away from power lines/trees that could come down in the RFD.
https://www.youtube.com/watch?v=2SbQ1hbrLLA#t=2948
Warning sign #5 - One minute later, surface flow is notably stronger meaning that the tornado is either intensifying or you are getting closer to it (or both). They note that they're paying attention to traffic in the opposite direction which makes them think the road ahead is clear. The road ahead *is* clear at the moment, but it won't be for long, so that's a false assumption. Also, don't rely on the public to lead you to safety because they'll drive right into a tornado without knowing it. Don't trust other chasers for that matter.
https://www.youtube.com/watch?v=2SbQ1hbrLLA#t=2969
Surface flow gets even stronger, and it's still pointing S of them. They're not gaining ground on the tornado, and it's getting closer.
https://www.youtube.com/watch?v=2SbQ1hbrLLA#t=3016
Surface flow is pointing to the SE, which means its ahead of them. But there seems to be some cyclonic curvature to it, which strongly implies you're in the outer winds. This is likely a big tornado. At this point the ham transmission goes out asking for a visual confirmation on the location of the tornado.
Warning sign #6 - ALARM BELLS! If you are asking other people to help you locate the tornado, this is a sign that you have lost situational awareness and quickly need to abort whatever it is you're doing!
https://www.youtube.com/watch?v=2SbQ1hbrLLA#t=3088
Hit by the semi. Listening to any of these warnings and stopping, or going west, in a three minute window would have resulted in a different outcome.
https://www.youtube.com/watch?v=2SbQ1hbrLLA#t=3214
I can't state how critical warnings like #4 and #6 are. If anyone takes away anything from this thread it should be that you need to continually re-asses your plan vs. how things are playing out, and that you can never, ever lose situational awareness. Either one of those should cause you to bail, abort, quit, escape, run away.