Actually, netori also falls into the netorare category, so technically the tag is correct. Of course, it would be amazing if we had extra tags to add together with netorare so that we could specify the subgenre. In any case, netori itself is a subcategory of the original concept of Netorare (which the acronym NTR originated from), as, speaking in rough terms, netori can't happen without someone being netorare'd. Is the chad doing netori as he steals someone else's wife/gf? Well, that someone is being netorared, so it doesn't really matter if the story is being told by the chad's or the wife/gf's perspective, the netorare is happening. The perspective only comes into play to determine if it is also netori or not. None of the the subgenres of netorare can happen without the actual netorare, thus, they are only subgenres under the netorare banner.
In any case, nowadays the netorare genre is well fleshed out and has many, many subgenres, to the point where, for it to be considered netorare, it doesn't even have to be about a wife/gf being stolen anymore, just someone precious to someone else. As an example, one of the most popular genres of netorare lately is, believe or not, mother netorare. Sometimes it also stretches as far as the concept of emotional netorare, from a crush, for example. Even if said crush never actually gave a shit about the character being netorared.
Here are a few examples of netorare subgenres (and tags that would be helpful if added):
Type A netorare — When a character is willingly cheating on their lover (or significant other). Usually the one doing the cheating gets off (derives pleasure) from the fact that cheating is happening itself, often talking crap about their lover or enjoying humiliating their lover behind their back. Mind you, if the lover has knowledge and approves of these actions, then it does not classify as type A NTR.
Type B netorare — The oldest, most commonl and well spread subgenre of netorare. It involves anything from blackmail to even rape, and involves the victim (usually the heroine) disliking it at first, but eventually falling into debauchery and being corrupted by the power of a massive penis. You could call this the 'vanilla' netorare.
Type C netorare — The less common subgenre of netorare, this one is mostly used in more serious works. It only involves rape and is used stricly for tragedy scenes. The victim (usually the heroine) gets no pleasure whatsoever from the act and is often left traumatized / with a deep mental scar. It's purposes are usually to build drama or serve for shock value.
Netori — The second most common and well spread subgenre of netorare. There's nothing much to say about it, really. It has the same A, B and C variants, the only difference is that the story has to be told from the perspective of the one doing the fucking.
Netorase — The subgenre that has been growing the most lately. It is, basically, just consensual netorare or, as we call it in the west, cuckoldry. It has, however, a metric fuckton of archetypes within its own subgenre, making it the broader of all subgenres of netorare, and also the most complex one to delve into. It goes anywhere from even the most vanilla of just wanting to see your lover sleep with someone else, to literally wanting some random chad to mess your lover up and treat them like a sex slave/fucktoy. It also has lots of extremely specific archetypes such as wanting your lover to sleep with/submit to someone ugly, wanting to see someone else take your lover's virginity, wanting your wife to be impregnated by someone else... Anyway, in the end this subgenre boils down to willingly/consensual cuckoldry.
Sorry for the long post, and hope this can help someone better understand the genres.