[SamBam]

> Yet data from Israel suggests that the vaccinated are six times more likely to get delta

Ok, well I've cited two studies that say the opposite, and one of those studies looked at antibody responses over time from matched individuals. The "on the ground" results in Israel are completely confounded by who is an isn't vaccinated, with at risk people (including healthcare workers) being significantly more likely to be vaccinated.

> it's been known for a while now that ...

Oh my. Did you read that study? It shows nothing of the sort. It is a mathematical Markov simulation of what happens assuming natural infection is stronger than vaccines.

The kicker is in the discussion:

> Under the plausible assumption that protection against influenza infection lasts longer after naturally acquired infection than after vaccination, we show that ...

This is literally begging the question. The authors make the assumption that naturally-acquired immunity is stronger. Then they write a model that repeatedly exposes people given that assumption. Then they "show" that, surprise surprise..... people with naturally-acquired immunity catch the flu less frequently.