I'm in various camps on this and I can see tab as having both pros and cons.

Most internet-found tabs aren't really that helpful in that they're often lacking any indication of timing, bars &c. Or if they exist, then it's something of the tabber's own devising, often broken down into 'riffs' as a unit of measurement. I think this is often what people think of when they think of tab, but really, they're thinking of bad tab.

A good tab, to me is better than standard notation when it comes to guitar playing. Position marks on standard notation are helpful but the fact that even commonplace and rudimentary chords - open E for example - are hideous to read: a massive spread across a single stave.

Also, regarding Virgina Tam's point, I think one of the good things about (good) tablature is the one of the things Virginia Tam obviously dislikes about it. There's many ways of voicing those chords and for most people the chord names aren't enough in themselves, where they're likely to be played on the fretboard is important to a lot of people.

I really don't think the way guitar playing has developed over the last 100 years or so is really suitable for standard notation.

Regarding 'written music' generally: In an ideal world, everyone would have a great ear and be able to pick-up and play tunes after a few hearings. However it's not an ideal world and not everyone who wants to play music has a great ear, certainly not at first. For most people, it's a skill that's developed over time. Written music allows some people to be at least making music whilst they're still developing that ability to turn to turn what they hear into what they play. I think people are able to make some kind of music from the off, then they find it rewarding and then they'll likely to stick to it and then develop the other skills as they go on.

There's no right or wrong about this, just that different approaches suit different people.