Sadly no, and worse than that it ONLY counts marble, planks, and steel. Even T2&T3 don't count.
To complete just one path per stage your FS needs 13 Bracelet badges per person
- SoulsSilouette 64k per badge
- Bopas 29k per badge
- Satae 22k per badge
- Perpetua 12.4k per badge
Assuming max relic boost, 5x 3h + 1x9h collect with MM spell always active:
- Your plankers should give you 57K per day. Just short of 1 badge.
- Bopas can do better with 44,520 steel per day or 1.5 badges per day
- Satae would pull in 48K so just over 2 badges
- Perpetua brings in 16k so 1.5 badges
Total badges: 36/52 and that is based on some very generous assumptions like logging in every 3 hours (plus a 9h for sleep) 700% relic boost, which may be high for your fellows, full-time MM spells.
The only way to make up the missing badges is with diamonds or ~720 hours worth of timer instants (likely closer to 1,000 hours if your members log in casually)
(My offer still stands BTW)