I don't know if I fall into the category of "fairly informed", but I'll offer my input with a couple considerations; hopefully it'll be another data point to consider along with everyone else's comments. Firstly, I haven't played old Cassiopeia for a loooooong time, and my mechanics have improved significantly since then, which can really affect how I feel on a champion. My only game on new Cassiopeia was vs. bots, and a Swain for that matter, who I think Cassio counters. Overall, I couldn't get the hang of old Cassiopeia last time I played her, but I had a lot of fun on the new Cassiopeia. I think others are right in saying her lane bullying has been reduced significantly; I predict against vs heavy harass lanes you should have a harder time, but you scale really well into late game, and building stacks isn't too difficult. I think you can sort of compare her to Ryze; play safer early and scale into late game where you deal massive DPSs. I don't know if old Cassiopeia players will like her, especially if the reason they played her was for the lane bullying, but she seems like a pretty strong late game champion so far.
For the most part I followed Faker's build on the new Cassiopeia, Tear -> RoA, maxing Q first, E second (Faker has another build available where he maxes E first, though assuming he modified his build accordingly, I assume the former skill order is preferable, since the former is his second game on Cassiopeia, where he modified the skill order). Two things I noticed about maxing Q first; it might cut your damage early game, but you are far less mana hungry, since your E gets very costly before you get a few items. I didn't have any mana problems after the very early game following this build. Also, at 90 mana a pop, I doubt you'll get many Es off unless you have the mana pool to support it (it's also technically more mana efficient at lower levels; 90 mana for 3 Es, 165 + 3(40% AP) vs 1 E, 155 + (60% AP). Of course you have higher DPS with max E, but it you probably won't have the mana pool to support it early game; E spam also helps you stack more quickly). Second, you get to use E more, which means more stacks on your passive. I think I managed the first tier of her passive (75 stacks) at about 5 minutes, and this was me CSing at like, 50% efficiency (had about 25 CS, but you can double proc your stacks by hitting poisoned champs with E). Once you get better at CSing with poison and with E, you should be in really good shape in terms of your stacks early game.
Overall, I don't know if this can conclusively be called a nerf or buff; certain aspects of her were nerfed, and others were buffed, resulting in a pretty different playstyle. She seems able to harass early game, but don't expect to get lvl 2 solo kills like you can on some champions. I think her overall playstyle feels a lot like Ryze; you deal more DPS than burst, so you can lightly harass fairly well, but you're probably not going to all in pre lvl 6 unless you're really confident. Also, you don't have to chase kills, just like Ryze (though you can, since you have bonus MS and a slow), where if you scare them off just so you can CS and stack your passive more, you just become more and more difficult for others to deal with later in the game. Looking at your stacks; tier 1 basically gives you a bit more AP and spell vamp, tier 2 is basically an Athene's or Morellonomicon, but without the mana regen (which you get from other items), and tier 3 is basically a deathcap. Fully stacked, you basically have an extra two items late game; DPS with her E is pretty devastating late game, and also gives her really good farming through most of the game (it's sort of an extra auto attack; again, she's more geared towards DPS than burst). Ultimately, I think she's strong right now, but she plays a lot differently than she used to.