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So when I've collected the latter, the plain blocks often came apart by themselves -- a reason I stopped collecting them.
My experience as well. The older the block the more tenuous the connections.
The worst offenders for US seem to be 1950's or earlier.
When I collected Russia, it was a real problem. The 1956 Pavilions stamps can be found in sheets of thirty with five sets of six different designs se-tenant. These are beautiful items and I really wanted both sheets. I found them "post office fresh" in a Raritan auction. There were ten sets of each sheet with the as-issued glassine interleaving still in place. They made it to my house but as soon as I ever so gently removed them from the packaging, they flexed a tiny bit, and the perforations started to separate.
I am done with blocks/multiples when there is any premium involved.