Is there a name for these arguments?

[Dubiousness]

When you write about something that's bothering you, and somebody will reply with, lucky you if that's the worst thing you have to worry about. Just because it isn't the worst thing I have to worry about, doesn't make it invalid. Most people have several things going on in their lives.

Or if you voice your support for a political issue and someone says, why don't you care about other issues instead, when actually you do, because most people care about more than one issue.

The first might be called minimising or dismissing, the second is 'whataboutery'.

Passive aggressive?

I can think of a few names for the people who do this

Fuckwittery or arseholeism

I’d say they are being defensive or deflecting to undermine the point your message has