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Is random sampling necessary if LHS LDS exist

CC202602246636

 Monte Carlo Sampling Method 

 Fast Yield Analysis and Statistical Corners 

I was studying about Monte Carlo Sampling methods and luckily I came by these two posts.

It seems that LHS and LDS give similar results for a limited number of runs when it comes to estimating the dataset, due to spreading out limited samples in the population.

Mathematically, when the number of runs reach infinite, sampling methods do not matter.

However, for a limited number of runs (which is usually the case) LHS and LDS are preferred over random sampling.

So are there any cases, as an analog designer, random sampling is preferred over LHS and LDS?

If no, then why does random sampling still exist as an option?

Thanks!

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