Peace be upon you, my son .. the aim is to clear the cobwebs for the benefit of whomever might chose to follow the thread ... absolutely essential that we all accept that none of us knows more than a few of the answers ... and can learn more, day by day.
TORA limited means you are unable to lift off before the end of the pavement (TORA).
Not quite ... you have to be off the pavement AND halfway to screen height by end of the TORA. If that is the limiting T/O calculation then, indeed, you are TOR-limited. Note that, if you needed to go further than the TORA then you are OVER your TOR limiting weight and in trouble. Unfactored TODR is the distance at which you get to screen height.
What I reckon is before you are TORA limited you are already TODA limited.
Not at all the case - Type/runway dependent. Not a generalisation which can be made
Example: TORA=TORR+1m => TODA limited (You are TODA limited before being TORA limited).
Why should that follow ? You can easily be TOR limited and not TOD limited for a given runway ? Similarly, you may be under the TOR limiting weight, as well as under the TOD limiting weight and routinely be ASD limited, for instance ... or limited by some other consideration.
Although one gets a bit of a feel for a given Type after a while, philosophically, ALL the calcs are run and the lowest weight comes up trumps for RTOW.
Absolutely no reason why any case should, necessarily, have the inside running. Having said that, for a given Type, one will see a skewing of the results such that the limitation may well be ABC more often than not .. but the next Type may be quite different in its results.
This is one of the problems which confuses the student greatly when many training organisations attempt to condense the subject matter down into rules of thumb ... which often need a bunch of caveats added for the discussion to make sense.