Ah the wayback machine. You're not missing much there, the wayback machine won't show images whose URL has been deleted. For example, if you post a comment with a stash image and archive it on the wayback machine and you remove the stash image from your stash gallery, it will appear as an empty, transparent frame on the wayback machine archive.
And sorry you got mass-reported. What did you get mass-reported for, if I may ask? Asking only as I can relate to that in an indirect way and am wondering if they differentiate how they treat mass-reports the same way they differentiate between how they treat regular reports.
Also, you can also find the work sometimes lingering around Google Images if you search your username on there or the work's title.
That isn't 100% accurate.
So... you probably will never witness this yourself (of course not saying that as a bad thing), but when a conventional suspension occurs, you cannot log into your account. When you do, it will say "forbidden" (rather than "deactivated") and they prescribe you a certain amount of time before this expires, written down in a message somewhere. Someone who is suspended also won't have their name crossed out.
This is in contrast to what you're referring to in a few ways when you refer to a suspension, being you (and again noting the irony) can log into your account in some cases (but you can't do anything, it's like being in ghost mode) and can choose to log in and deactivate conventionally and remove all your content or remove individual things (if you deactivate, the account becomes closed and cannot be reopened for another two days, and after twenty days of it not being reopened, it will remove all your content).
You can also be banned from certain functions of the website but not the other functions. You can be banned from the forums but not the main site or the shop or chat, from the shop but not the forums or the main site or chat, or from chat but not the fprums or the main site or the shop. However, if you're banned from the main site, you're banned from all the site.
There are also different types of bans; in some they remove your posts, in some they remove your forum threads, in some they remove everything, and in some they remove nothing. This largely depends on the perceived offense, but as I mention here, it's becoming more ambiguous.
One way you used to be able to find out if someone is banned (though I don't know if it still applies because they remodeled the groups feature) is to invite a person whose name is crossed out. If they were deactivated, a message would popup and say "cannot invite a deactivated member", but if it was a ban, it would say "cannot invite a banned member".
If this method still works, even the people who have their work still up but who have been issued an order to leave and have their name crossed out will trigger the response saying they were banned. Many such people also get messages in their emails saying "we are removing you indefinitely and this means the ban will never expire" (not verbatim), which means it's not temporary like one would think of a suspension.
It should also be noted sometimes protocol is twisted. Some banned people are treated as if they got banned for reasons other than what they were banned for, and some don't get a message in their inbox about their ban. There has been a surge in this recently and the DeviantArt subreddit has been filled up with complaints that would indicate something at the moment is awry.