No. Everything east of the German / Austrian / Italian border was part of the Eastern block, which was the east / west clivage for about half a century.

What's coming back is the pre-cold-war delineation where areas of orthodox primacy north of the black sea are eastern europe, south of it are south-eastern, and the catholic areas are central, northern, southern and western (with the iberic peninsula often being split out as southwestern).

Basically before WWII "Western Europe" was France, the British Isles and the Low Countries.

By whom? Western Europeans? Geographically Czech Rep is in Central Europe, as is Poland and few other countries.

The Czech Republic is usually considered to be in Central Europe. As an aside, it's Eastern-most border reaches about 18.8 longitude, Italy's Eastern-most mainland border reaches about 18.5.

By whom? Citation needed.

Well it's considered that incorrectly.