Oh, efforts comes in many different ways. The ones you mentioned are also included, but not final. Imho there are also stuffs like whether they're actively engaged in combat, respecting mechs, responses to the unexpected, etc.
If I try to put myself in one of the party members' shoes, I'd most likely fit in to the healer you mentioned. I don't know that healer, but if it were myself, yes I will be bewildered at first, but also interested as why would you queue in without your soul stone; hence I will just roll ahead and see how you'll do your thing (and everybody else's too. I like observing and it's the easiest when I'm on healer role).
Heck, the game itself did not make any pieces of equipment past 50+ (or 30+) forbidden to those basic jobs, nor even restrict their participations in higher lv duties (remember that 8 basic job party in Copied Factory?). Sure it is very frowned upon by the community in general, BUT if I'm forced to make choice whether to keep the quiet stellar basic job player or the noisy lousy advanced job player, I'd definitely pick the former. These, I cannot figure out right away in first glance without actually observing.
If that healer nor tank didn't even said anything nor decide to kick you were the run to last for full duration (I'm not sure whether you actually bail out after first boss right away or just stay to the end), I'm pretty sure they ALSO knew what was 'wrong' besides the THM not equipping their BLM soulstone...

Players are clever bunch