The smaller HHI, the more diversified a portfolio is. Everything is correct.
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In vacuum, yes. The rest depends on the specific use case. An alternative hardcore viewpoint would be that any deviation from the market weight is wrong, see some of my posts above. Currently I have no strong opinion, both will do the job.
I might think about equal weight funds as diversification ramped up to 11. Like with all extreme solutions, you lose something on the way.
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A bit off-topic but my question goes in that direction.
There are companies with headquarters in CH, but which are not traded on the Swiss exchange (e.g. Glencore). Therefore they are not part of the common Swiss ETFs, such as CHSPI.
Are there any ETFs that track âswiss marketâ overall instead of âswiss market traded in CHâ? I would imagine that as a Swiss investor, it could be beneficial to have any company headquartering in CH to be in an index, or is there a reason why Glencore & co. should not be included in a home-bias (maybe because most of those additional companies are very multi-national)?
I would imagine such a ETF would also solve part of the weighting issue with current Swiss ETFs.
I was mainly comparing
RSP ETF and VOO ETF both have same stocks , 500 of them
But it seems there is another definition of Diversification 
Learning new things everyday. Did not have a clue about HHI