Welcome to the forum.
The trapway on all the toilets we are discussing is glazed.
There is now an original Drake (CST744S or CST744E, 1.6gpf and 1.28 gpf respectively) and a Drake II (CST454CEFG), as well an original Ultramax (MS854114S or MS854114E) and an Ultramax II (MS604114CEFG). In some jurisdictions, the 1.28 gallon-per-flush models are eligible for a rebate from the water company under the Watersense program, if you are replacing a toilet; the program details vary widely by jurisdiction.
The designs of the II versions are more modernist than the original versions, and they come with a bunch of standard features: Double-cyclone bowl wash ("C" in the model number), 1.28GPF (E), Universal Height (F), and Sanagloss finish to resist staining and swirl away stuff that might stick to the porcelain (G). The Sanagloss and ADA-height are options on the original versions, and you can still get them in the 1.6gpf model if that appeals.
The basic flush system and bowl design are essentially the same on the original versions of the Drake and Ultramax (called the G-Max flush), and the II versions of the toilets have the same double-cyclone bowl action and flush. They don't necessarily all test out the same on the MAP ratings (where a testing lab tries to determine how much a standard solid material will pass through on a flush), but they all score above the level at which it really doesn't make much difference (which is 500). If you look at a flushing Ultramax, just in the bowl, it's going to look a lot like a Drake flush, and if you look at an Ultramax II flushing, it will look a lot like a Drake II flush.
Don't expect the dramatic "Woosh!!!" of a pressure-assist bowl from a Toto toilet. It's a lot quieter, and just gets the job done without a lot of drama. But it DOES get the job done. And it has simple, user-replaceable parts. The drama is replaced by good engineering.
As between the original series and the II series, I have one of the II and two of the original. The II series appears to have a little better bowl wash, and the Sanagloss is nice, but I can't say I have any complaints about my original Drakes without the Sanagloss. They just work, and they're a heck of a bargain for the quality of their components and the quality of the flush.
For what it's worth, here's an original Drake flushing paper. See? Quiet, no drama, but it gets it done. (Note that the video ends before the toilet finishes refilling; the Drake has a nice-sized water spot for a water-efficient toilet.)
If you want to see the internal guts of a Toto Drake operating, here is a link to another video. Note that the big 3" flush valve (the standard is 2") evacuates a lot of water from the tank really fast, and that Toto uses the weight of extra water in the tank to force the flush water through the valve: the flapper closes before the tank is empty because the extra water isn't needed in the flush; the extra water is there to power the flush (hence "G-Max" for gravity). Note how quickly the tank refills, and how quietly and authoritatively the Korky 528T fill valve shuts off. It's running fully-open until it shuts off, rather than the slow, hissy shutoff from a traditional ballcock. http://www.youtube.com/watch?v=7nx43LNtflM