u/jjmontuori, the 'case sensitivity' issue seems more of a software/setting than anything else, especially since you've been getting it with your Drives, then NAS, so you should first look into your MAC, what type of settings you have, which I'm pretty sure if you dig in and search, maybe google search as well, you'll find the setting that you need to change to remove that constraint.
With regard to 4 Bay NAS(es)... any of the known brands, whehter Buffalo Tech, Asustor, Synology, QNAP, etc, again known brands are a pretty save option to go for.
Keep in mind, NO NAS OEM is 'perfect' per say... each has it's pros and cons and depending on your use case, you have then the options to choose from.
Now, if you want to have more of a comparison type of thing, then I'd suggest you take a look at a youtube channel called NAscompares (https://www.youtube.com/@nascompares/videos) and check out his videos. There you have good comparisons between brands and models and you can select what best suits your needs, budget and go from there.
u/TillAny4068, iOS, the operating system on all iPhones, is a closed developed OS by apple.
Any third party software out there, MUST use, in one way or another, apples drivers, whether they like it or not, to access the device.
Therefor, whehter you use itunes to make a backup of your device or a third party app, you are still using the same drivers, thus making the same api calls.