Yeah, Niterider's post was practically incorrect in every aspect. All 3 titans have the same shield. And Stryder in the right hands is deadly death. Ogre is most useful with timed weapons. Railgun, Arc Cannon... It does not go well with Triple Threat. Stryder with a Burst Fire Quad Rocket or Ext Mag Triple Threat? That's a winner. Slap Dash Quickcharger on and dance around while reloading. It also is a win button in Attrition with an Arc Cannon. Avoid Titan fights and just blow away minions with a 50% charge. You'll often get Pilots on a bounce, too.
Shield core is the absolute best ability if used properly. Its shield is a double shield. If you pop it immediately as your regular shield drops, you basically get 3 layers of body shield. Damage core is totally dependent on your weapon. Pair it with Arc Cannon? Practically useless. It also doesn't really last long enough to get more than one salvo out of it.
They all have different base health, shield has nothing to do with it.
I think there's a discrepancy between the PC and Xbone versions. I imagine on a controller taking out speedy, airborne pilots is rather difficult so it's viable to target either just other titans or to minion farm. On PC you can take out airborne pilots just fine with a Chaingun, so that is my preferred weapon as it's effective against Titans as well. This means that minion farming on PC is never a viable strategy. In general the PC crowd favors the 40 mm or chaingun (occasionally the triple play), so Damage Core is useful there. Also I think the precision issue would make the Stryder dancing more viable on Xbone than on PC. Dancing is good on PC but I've never been in a situation where I felt like a Stryder (dash recharge/core or otherwise) would be better than the Atlas + dash recharge, even when I was using the Stryder. With the precision of PC I think the Atlas's additional health is more important than LOLDASH.
I often find myself not using cores at all, since victory is already pretty much guaranteed if I manage to get one charged. So they generally don't get used until the epilogue, in which case Damage Core is the only one that is useful (espcially against new Titanfalls and the evac ship).
Having played with each of the titans a little more, I would only use the Stryder if we were already winning by a landslide. The mobility helps hunt down pilots and rogue titans, and you've got so many titans on the field Damage Core and Shield Core won't ever help you, nor will extra health. For an even match I would still use the Atlas.
After playing with the Ogre a little bit more I think it would be useful if you're team is losing. At that point maneuverability isn't going to help you and Shield Core (if you can get it) + Shield Regen would make a major difference. Regardless of platform precision you're going to be getting hit from every direction and at that point health and getting those shields up is all that matters.