And this might not answer any of your questions. But just to make sure we're talking about the same things...
It gets messy, because "Interlaced" has different meanings. So does "Telecine", and "Progressive".
It depends on whether you're talking about the video itself, or the playback.
Progressive can mean progressive playback - fields faked into frames, for instance. Or film played 24 fps on a computer screen, but the screen is refreshed more often than 24 fps. LCD could also play 24 fps progressively, maybe Plasma. I imagine Progressive could be applied to just popping a frame up there, instead of one row at a time, or mean drawing the frame top, to bottom, without going by fields.
Or progressive can mean progressive video. such as film stored as frames of film, without extra fields. Or it can mean interlaced videocamera footage. Or it can mean CGI done at 25 fps (PAL) or 30 fps (NTSC). Basically it means not-interlaced. (Though vidcam footage is interlaced, it's stored and flagged as frames, not sure about tff/bff). But its still played interlaced on interlace sets.

Interlaced sets draw the odd lines of the picture first (top field), then the even. The idea is that if picture was drawn, on a picture tube, by a beam lighting up phospor-dots, a frame at a time, at 25 fps, or 30 fps, you would see a heinous flicker. So you draw odd & even separately. That's one definition of "interlaced".
Videocamera footage is recorded one field at a time, 60 times per second, and that's also called "interlaced". And so is "hard-interlaced" or "telecined" material where extra fields have been added to the video - to boost 24 fps up to 25 fps or 30 fps. The hard-interlaced video can be videotape, laserdisc, or broadcast. Sometimes, it may be added, inefficiently, to dvd-video or computer-video. (Hard-telecine can be left in a staticy preservation dvd, also).
Dvd video normally has pulldown flags set to indicate the fields to be duplicated, instead of wasting space on duplicated fields encoded into the video.
A DVD player plays interlaced to interlace sets. It looks at the video as one scanline per row. There are as many rows as will be output to the set, of course. The top-field-first or bottom-field-first flag tells it how those rows correspond to playback.
In Pal-land, it will play 24-fps film fast - at 25 fps. Or it will play material that's recorded on camcorder at 50 fields per second. Or it can play an extra field per half-second. Or play a funky source (that's another subject, below). Always played interlaced, to interlace sets, though.
In NTSC-Land, and interlace sets, it will :
1) Output a 30-fps film source one field at a time.
2) Output 60-field-per-second camcorder footage. (Recorded one field at a time).
3) Output the 24-fps film, but also make duplicate fields into extra frames, to bring up the framerate to 30 fps.
In order to do #3, it needs "pulldown flags", to tell it when to duplicate.
4) Output "hard-telecined" material, where the extra fields are encoded into the video, at 30 fps.
5) Output any mix of that stuff. Then there would pulldown flags, and progressive flags, if I'm not mistaken.
I believe the pulldown & progressive flags can be added by your editor, if you chose, or else you can add them with a utility like dgpulldown.
"Telecined" basically refers to scanning film into an analog master, or directly to broadcast form. In NTSC-land, the telecine process automatically adds hard-pulldown, which is the duplicate fields, right in there. The "hard-pulldown" footage is also called "telecined" or "hard-telecined" or "hard-interlaced". (Recordings or cappings from NTSC broadcasts of film will have that hard-telecine from the broadcast). Nowadays they usually scan it straight into digital, without the hard telecine, unless its going straight out to broadcast.
In PAL, telecine is just scanned straight in. Or they can add an extra field every second, to bump the framerate up toe 25 fps. Or it's made from an NTSC-Telecined master then has the "telecine" (hard pulldown) removed by "inverse telecine", which loses the duplicate fields, or they "deinterlace - they either throw away fields, or blend them together, without regard to uniqueness or duplication. They'll aslo deinterlace NTSC camorder footage, or 30-fps CGI.
That can make a royal mess if you want to bring it back to NTSC. The extra field per half-second is easier to fix.
Also there can be phase shift errors, that I don't understand well enough to explain.
If you are starting with hard-telecined material, its usually best to remove the telecine (IVTC or "Reverse Telecine"). Funky-Pal, well, can become an advanced subject...