Subsidize loans are subject to FAFSA guidelnes. FAFSA says,
https://www.edvisors.com/ask/ask-the-edvisor/fafsa-household-size-indepedent-sibling-03-2015/
So in your case you met that 51% support qualification - that is an added qualifier not specified in the OP.
So the answer to the original question would be: “yes, a grad student may be counted if the parents are providing more than 51% of support for that student.”.
I’d note that the 51% support is not something that that can be assumes, since many grad students are receiving partial funding from fellowships, TA/RA positions, and/or employment.
Also, eligibility for federal aid (loans, work-study, Pell), may be very different from college grant aid. Private colleges may utilize a dual standard for calculating eligibility for federal aid vs. their own grant funding.