If the NEC requires a GFCI for this location, then only a 5 mA GFCI is acceptable. 30mA GFPE (ground fault protection of equipment) is not acceptable where the NEC mandates GFCI for protection of people.
If this issue is happening with multiple copies of the same equipment from the same manufacturer in different locations, that is a rather different story from one piece of equipment not working on one GFCI circuit but correctly working on a different circuit. Maybe you can describe the entire story; what is(are) the location(s), what is the equipment, what are the circuit ratings, what code calls for the GFCI and why does this code apply. What tests have been done and what situations lead to the system(s) working or tripping the GFCI. Dribbling out details like morsels for a cat won't get you good answers.
Who's responsibility this is depends on the details of the contracts involved. For example it might be a warranty issue on the equipment, or it might in an installing electrician error. If the equipment is performing to spec and has leakage that trips a GFCI, and code requires the GFCI, then it might be the customer responsibility to change the circumstances to avoid this conflict. While I can speculate I cannot begin to provide a definitive answer for 'who has to deal with this'.
-Jon