Machined pin versus stamped pin has always been a "Ford versus Chevy" type argument.
Machined pin sockets are used exclusively in all of our DIP IC boards for military boards ... but very few DIP type ICs are used any longer. In 30+ years, I have never seen a failure due to machined pin IC sockets. And for our commercial equipment which had stamped pin sockets - I have also never seen a failure due to the socket. PLCC IC sockets, on the other hand....
There are decent machined pin sockets out there and there are crappy ones out there. The ones I had been selling for a long time were made by Keltron. Currently evaluting replacements due to Keltron closing it's doors last year. Machined pin sockets have round holes with inserts in them. The inserts typically have four prongs which grip the IC leg on four sides. The biggest problem with these is the metal used on the insert. Lesser grade sockets use a more rigid metal which tends to bend flat and not hold the IC legs (what Clay saw). These would be the cheap sockets found on Alibaba. However, it does seem that even some of these cheap sockets have better inserts than others. Its a crap-shoot on these. I have to admit - I did sell a few of these for awhile. After a short period of them, I was quite disappointed with them - clearanced them out for a month or so and then ended up tossing tens of thousands in the trash.
Stamped pin sockets are only used in consumer grade electronics. Some will last for decades... some (e.g. brown Scanbe) will last for minutes. Shame as Scanbe *did* make good sockets in addition to those garbage sockets. Stamped pin sockets have two basic types (not covering the old style that used to hold IC legs on edges). Single leaf and twin leaf. Single leaf means the metal leaf presses up against the IC leg on only one side. These are the truly CHEAP sockets and I'm not sure if anybody even makes them any longer. Twin leaf (or twin beam) sockets press up against the front and back sides of the IC leg. For these - I have been selling AMP 390261 series for quite a while. Unfortunately... AMP quit making these so I had to get replacements from elsewhere. Bought a bunch of Keltrons which seem to work well. But now AMP makes a new 2199298 series socket to replace 390261s so will be switching to them. The new AMP sockets are nice but are now made exclusively in China.
The problem with stamped pin sockets is the same problem with machined pin sockets. Cheap ones are made with a more rigid metal which does not retain its 'springiness'. Again, you will find this with the cheap chinese sockets.
I used to be able to buy *affordable* sockets made in Ireland, Switzerland, US and a few other places but no more... now they're ALL made in china. Fortunately, a few manufacturers still push some semblance of quality onto their products. There are some pricey ones out there (e.g. Mill-Max) ... not sure where those are made.