Nothing personal where are you that you have 220 GFI breaker ?
Ok, a dryer and a hot tub need a 4 wire connection to main, yes the GFCI would trip if the neutral
is loose or missing..........
The load has no neutral the gfi is two pole 30 amp if i remove the white pigtail from the gfi to the neutral bus the gfi doer not trip but has no gfi protection the load is still working.