Honestly the job gear for shb was just poor in general imo. We still don't have dyable job weapons either.

On the topic of mobility, personally all healers should have some but different

Whm- lost seraph strike fits so well. Gcd or ogcd it matters little, its perfect.
Sch- I'm probably gonna catch flack for this but the movement speed buff is a decent enough fit. However it should not be a bloody capstone, that's just insulting
Ast- I would suggest a two stage mobility tool like e12s' return debuff. You warp forward using space magic then rewind yourself to the old position with time magic. The old pos will only be available for a certain amount of time so you can just use it to dash
Sge- rocket wings for nouliths. Fits the gundam aesthetic