That's exactly what I believe, morithiel. Thank you.
I was actually in the process of responding to KD when he got booted out of the thread. Obviously it would be a little cheap of me to reply to someone who can't respond, so I'll try and frame my comments for general address rather than specific rebuttal. On the other hand, when the mod bans the only person on one side of an argument, it kind of makes it difficult to continue the conversation. I'll give it my best, though; if anyone would like to jump in on KD's side (which is not to say speaking for him, but just supporting his position), I'll be happy to continue debating.
I do believe that there is a difference between exact equality and effective equality. For example, the phrase "the dollar bill I accidentally washed last week," and the phrase "the dollar bill which has the serial number G 57908100 B" refer to the same dollar bill. On the other hand, if I lent that dollar to moritheil and later he gave me a different dollar, the two are effectively the same, but not exactly the same. Practically speaking, there's nothing I can't do with the dollar morithiel gave me that I couldn't do with the dollar I gave him. Likewise, paralysis and helplessness are effectively the same, but not exactly the same. If they were exactly the same, that is if the distinction between the states were negligible, the rules wouldn't need both conditions; just one would do. The fact that both exist must mean that there is at least a minuscule difference between the two which separates them even though their ultimate effects are similar. Since the distinction is not negligible, we must assume that each condition appears in the rules intentionally (and separately) and does not refer to the other unless explicitly stated.