It's not like people don't want to appreciate and enjoy the 'differences'. The issue is, SE doesn't want those.

You can say Kardia and Embrace are different on paper and maybe down to 0.0001 potency but at the end of the day they are both passively generated heals that you mostly don't (need to) think about. In fact, if you're having trouble, then you most likely have much bigger problem on hand that deserves more attention than laser focusing these two.

Another fairy benefit (that they keep trying to diminish by giving everybody and their mom 30y radius) is totem healing: the ability to heal your target without having to place yourself closer. Try to reach that one BRD standing in Narnia with your Panhaima, and you'll tilt your head when you see they're the only one that's missing your mitigation while that SCH can sit still while their Seraph churning out Consolation cozily at the middle of battlefield, and actually have better agency to capitalize all HPS value that comes from their two charges.

Instant shield? Sure, that's what SCH doesn't have on the fly. But when do we actually benefit that? You have millions other heals before you even think about pressing E.Diag/Prognosis, so you will also be spamming Dosis III/Broil IV regardless. Now unless your party is a clown fiesta, that could be a different story... but wait. Recently they just gave SCH Seraphism, which essentially deletes every single weakness the job had up to this point. The only time I believe SGE outclasses SCH was at lv80 as the existence of Holos sort of tipped that balance just slightly, only for it to return to the other way when SCH receives Expedient at lv90.

tl;dr SGE trades higher potential for simplicity, ease of use, and foolproofness. SCH could rival SGE's ridiculous HPS potential, if they're not being kept on check by Energy Drains... except they can absolutely play SCH like they're playing a SGE: ignore energy drains.