Whataboutism is the most socially acceptable way to not answer a question.
[1]The move works because it does not look like an evasion. It looks like context, or like fairness, or like a reasonable objection to double standards — all of which are real things that sometimes matter. What makes it a tactic rather than an argument is the substitution: the original point is never returned to.
Why it works
A criticism creates a small obligation to respond. Whataboutism discharges that obligation by transferring it. You are now the one who owes an answer, about a different subject, and the original claim is left standing unexamined behind you.
It is also extremely hard to refuse without appearing evasive yourself. "That's not what we were discussing" is true, and it sounds exactly like what someone would say if they had no answer.
Recognising it
- The reply concerns a different actor, a different time, or a different event
- The comparison is offered instead of an answer, not alongside one
- Declining to follow the diversion is characterised as dodging
- Following it produces another diversion, indefinitely
What to do
The workable response is to concede the comparison cheaply and return to the point in the same breath: "Possibly — I don't know enough about that. On the thing I raised, though…" Refusing to engage at all reads as evasion; engaging fully means you have changed the subject on their terms.
If the diversion recurs after that, you are no longer in a disagreement about the subject, and the useful question becomes whether to continue at all.