Time Machine works at a file level, with no facility to perform incremental changes within files. As such, your Sparsebundle may be backed up in it's entirety every time it changes in the slightest, depending on how large it is. Of course, you have to wait up to 1 hour (+the time it take to make the backup, depending on how large the queue is and where your file sits in it) to ensure those changes are included in the backup. Also if your Sparsebundle is in use (mounted...) then it may well skip it until the file lock is freed
This is a terrible system, and one that we might not see change until the underlying filesystem is suitable upgraded (or replaced) to include such useful facilities as incremental block level changes rather than simple file level ones, and/or deduplication etc. One early victim of this scenario were users who used the original Filevault system for encrypting their home folders. Time Machine would not backup their home folders until such time as they logged out because the Sparseimage file was constantly locked by the fact the user had it mounted. And even when the user did log out, it would proceed to make a hugely inefficient backup of the whole thing again and again - on the assumption that they simply logged out and didn't just turn off etc... Not very clever. To try to ameliorate this the Sparseimage spec was ammended to allow for Sparsebundles. Instead of a single big file, a sparse bundle is a bundle (directory) containing a number of files called bands, each in the order of 8 MB in size. This means even though to the end user the sparse bundle appears as a single file, it is composed of smaller files. As of Mac OS X 10.8, the bands are 8.4 MB each. When the content of the image changes, one or more band files is changed, created, or deleted. This allows backup software (such as Time Machine) to operate more efficiently, but it's just a bodge to attempt to mimic block level changes in individual files, which is limited to 8Mb "blocks"...
So to answer your questions directly, 1) it handles them properly, where properly means the same as any other file, it's just that your particular use (leaving it open and mounted) may not result in efficient backups that are taken regularly, especially if you rarely unmount the file, and 2) yes, you will need to pull back the whole file to view it's contents. The TM restore interface is also file specific. It may have quick-look plugins to allow you to view simple files inline like JPGs etc, but not for a complex file like a sparsebundle.
On the bright side, you already have a licensed copy of ChronoSync, which is super useful, and I would continue to use this to perform incremental backups of your sparsebundle whilst it is mounted, you can use the same drive as your TM images too.
macOS and Linux use different UTF-8 styles. convmv can convert between those two with the options --nfc / --nfd. On your linux based NAS do this:
convmv -r -f UTF-8 -t UTF-8 --nfc .
From the convmv man page:
HFS+ on OS X / Darwin
Linux and (most?) other Unix-like operating systems use the so called normalization form C (NFC) for its UTF-8 encoding by default but do not enforce this. HFS+ on the Macintosh OS enforces normalization form D (NFD), where a few characters are encoded in a different way. On OS X it's not possible to create NFC UTF-8 filenames because this is prevented at filesystem layer. On HFS+ filenames are internally stored in UTF-16 and when converted back to UTF-8 (because the Unix based OS can't deal with UTF-16 directly), NFD is created for whatever reason. See http://developer.apple.com/qa/qa2001/qa1173.html for defails. I think it was a very bad idea and breaks many things under OS X which expect a normal POSIX conforming system. Anywhere else convmv is able to convert files from NFC to NFD or vice versa which makes interoperability with such systems a lot easier.
Btw: This only happens when you transfer your files from a HFS+ partition. APFS doesn't enforce NFD anymore.
Best Answer
To use sparsebundles and Time Machine backups, a NAS must support AFP and one must mount the share using the AFP protocol. AFP supports metadata transport that is not carried via SMB shares. CIF/SMB should be used with Windows-based systems. AFP should be used with Apple systems whenever possible.
While you might be able to create a sparsebundle and use it under SMB, I can see no reason for doing so. When you're using OS X, you're best served by using AFP.