It's not really all that standardized. The use of a '+' character to indicate an alias or label is merely convention—if you run your own server you can set the separator to any character you wish, or disable the feature altogether. As far as the RFCs are concerned the '+' character is just part of the account name and there is no reason why it cannot be a mandatory part of the account name on any particular server, such that stripping off the '+' and any trailing characters results in an invalid e-mail address, or even someone else's e-mail account. For sending email or using an email address as an account identifier it's definitely incorrect to treat abc+xyz@example.com and abc@example.com as equivalent. The same goes for account names which differ only in capitalization or placement of periods: some servers are case-insensitive and ignore periods in account names (e.g. Google) but these are server-specific traits and compliant email senders should not assume that every server will work the same way.
The '+' alias feature is a fairly common configuration, though, so for source labels it's better to either treat all unlabeled messages as spam or else use a more opaque labeling scheme (unique-hash@example.com) which doesn't hint at an alternative untracked email address.
For the Sieve Email Filtering Language, yes. Which is not actually part of SMTP. And even in RFC 5233 the specific separator sequence is up to the server; the RFC only specifies queries for ":user", ":detail", and ":localpart" to filter on the different fields independent of the choice of separator.
I think that when using email aliases to identify spam sources, the crucial part is that you can filter the stripped address (as well as any unapproved alias) to be directly identified as spam and then the +alias part becomes a key to properly get into the inbox.
That whole setup for tidiness is broken the moment a desired website does not accept an alias in your address, of course.
> a spammer would absolutely just strip that plus part off
Why? They don't care about protecting the business interests of wherever they got that address from, and it's not like stripping the plus off will meaningfully increase the success rate.