He was specifically asking about achzarius. You tell me: do Hatzala guys sometimes need to do things which cause pain?
That was not your original narrative anyhow. You started talking about Shabbos (which I agree is probably very difficult, though not impossible), but you quoted a gemara which has nothing to do with Shabbos.
So I pointed out that the gemara has nothing to do with your point, and you decided, I guess, that really you were talking about achzarius, and R’ Akiva Eiger backs you up.
Except that R’ Akiva Eiger said no such thing.
Mentch1 merely pointed out, correctly, that switching your narrative to one about achzarius shlugged up your whole chilluk between doctors and Hatzala members.
So now you’re trying to change the narrative to be about other pshatim in the gemara.