I have Fluctuating Loss - on my mild/mod side (my other side is consistently +120db profound)
I think that if you have an audie that you get along with - even if they don't think you have FHL (fluctuating hearing loss) initially, as you build up a relationship over the months and years they will likely "come around" to accepting that you do have FHL. One of the most difficult aspects about FHL is that there are MANY variables regarding what causes the fluctuations ... for some people it's things like stress, , exertion, exhaustion, illness, allergies (including food), hormones (for women their menstrual cycle) etc ... and the length of the fluctuation may be mins, hours, or days ... so it's unlikely that you'll be able (or want to, for that matter) drop everything and rush down to get a new audiogram the second you notice your hearing is decreased etc!
Personally - I've never had difficulty with my audies accepting that I have FHL - I think mostly because I always state it as a FACT not as a question or statement looking to them for validation. That I have FHL is just one aspect of my HL profile ... I'm profoundly deaf on my right, I have mild/mod FHL on my left, I have tinnitus & hyperacusis, I have slight balance problems etc... I never let it be a questionable thing.
When I elaborate on my FHL I mention that it tends to be triggered by similar things that trigger my migraines (stress, mental exhaustion, extreme weather fluctuations etc) and that the fluctuations typically last between a few hours and a few days, depending on what has "triggered" it)
It's worth mentioning that while some cases of FHL are neurological in nature some are also physiological (caused by inflammation,fluid build up, or vascular type issues in some part of the ear) , so it's important to rule out things such as recurrent ear infections or inflammation (typically an allergic reaction).
One thing that a Dr and Audie both mentioned trying when you notice a FHL change is taking an antihistamine (Reactine, Claritin, Allegra etc) OR and antihistamine with an decongestant - provided it is safe for you to do so (check with a pharmacist if you are taking other meds or have any medical conditions or allergies etc).
In some cases taking an antihistamine will help - especially if the FHL is actaully caused by localized swelling & taking an antihistamine with decongestant will often help if there is swelling with fluid buildup
Hope that helps