"the main question is, is there a difference in a 24 MP Fx sensor over a 24 MP DX sensor and the photo you get?" BFS for the same field of view i.e. the subject appears the same through the viewfinder you would have to move back by approximately a factor of 1.5 on the APS-C sensor... Or inversely if shooting from the same location the view you see will be "tighter" on the crop body... For this reason many are of the illusion that their crop body allows a full frame lens (FX) to become a longer focal length on a DX body.... but in reality the DX sensor is only "cropping" the central half of the image circle... Few if any lenses are up to the demands of a 24mp sensor without inducing degradation in the form of acuity loss for the aforementioned scenario... and prosumer FX lenses simply fail to preform at their optimum. when on a DX body.
BFS the larger issue here is not acuity in my humble estimation... it is in fact want of subject isolation which results from apparent DOF when using a DX sensor... This is HUGE if you are intent on using bokeh and blur to isolate a subject from background distractions... I absolutely avoid using DX for location portraiture or sporting events... even wedding events suffer here... Please don't be swayed by hobbyist who fail to recognize the merit/worth of image aesthetics in a blind pursuit of acuity... It simply isn't justified in so many situations... There are so many other metrics that play into the image equation that if ignored will not allow the full aesthetic potential of one's visual statement.
But wait, those with a serious agenda for reach a.k.a. BIF shooters will likely not appreciate the subtle nuances of aesthetics since they oft shoot against the blank canvas of a clear blue sky... So every individuals needs can/do vary...
Bottom Line? For my commercial needs it is the weight/mass advantage of DX that I find compelling... NOT reach and especial not price since a FX D610 is nearly half the price of Nikon's latest DX flagship and the D610's image sensor stands head and shoulders above it in IQ...
https://www.dxomark.com/Cameras/Compare/Side-by-side/Nikon-D500-versus-Nikon-D750-versus-Nikon-D610___1061_975_915I chose the D610 over the D500 or D750 based on not only on image quality but especially worth/value...
And I shoot league soccer with the D610 where it works flawlessly for AF tracking and it's 6 fps is way more than adequate...
Best yet I now use it as a backup in the studio for commercial work where IQ is critical to meet and/or exceed client expectations...
But BFS hobbyist are so easily swayed by vendor hype thus likely precious few on UHH may see the logic here...
That said if you have to pay for your kit from behind the lens in a highly competitive market then cost verses worth/value becomes a rather compelling factor...
btw, another compelling issue for avoiding DX is want of Pro grade Nikon DX glass, it is oft acknowledged that Nikon's marketing is intent on using DX as an entrance into the FX format... The assumption here is once a DX user is ready emerge into shooting commercially they will opt to purchase a full frame kit. To date Nikon as only offered one Pro grade DX lens, that being the AF-S 17-55mm f/2.8G ED IF DX optic at a rather pricey $1.5K. Thus sadly DX users are force to pay the cost/weight penalty of using FX Pro Glass on their APS-C bodies
https://www.bhphotovideo.com/c/product/300490-USA/Nikon_2147_17_55mm_f_2_8G_ED_IF_AF_S.html Final thoughts? "difference in quality" needs to be understood from the requirements of the shooter... Here dynamic range and subject isolation sadly seem to be vastly under appreciated by those who don't shoot commercially... And to date I have found commercial shooters to be seriously underrepresented on UHH... If you are submitting to an editor or providing deliverables to a client then aesthetics becomes more than a critical factor... it is everything... I assist many commercial shooters in my market, and virtually all of them use full frame bodies... Darwinian selection is brutal... enough said
Hope this helps or is at least food for thought
I wish you well on your journey BFS