**Prelude here to say that I DON'T think I have a better way of teaching Buddhism.
I have recently wondered for myself, and so also for other curious Westerners, if it wouldn't have been better to hear the Four Noble Truths as One Noble Truth made up of four parts. Inseparable by numbers or anything else.
I think the understanding that "suffering" is not the correct word to express dukkha has become more widespread these days. But there is still that opportunity for learners to hear "birth is unsatisfactory, daily life is stress, aging is painful" etc., etc., to think, "No, I don't agree with this, and if #1 is a flawed premise then #2-4 won't work either."
But that chance to question the premise, I believe, comes from an understanding that the First Noble Truth, while forever bound to a sequence, yes, is a standalone idea that is being bound.
This may seem like semantics but I think it's deeper than that. And it's probably only a problem for some learners and not others. But I wish there wasn't any opportunity to stop what appears to be a sequence. Like a pie that you can cut into four pieces and eat one by one to know the whole.
To me the Four Noble Truths are more like a basketball or a baseball. If you only begin with, or separate 1/4 out of, the thing then it is no longer the thing.