From what I can glean from that thread, the term "Block" grinder was in regards to the shape and the manufacturer was mainly noted as a frame in time. I don't get the impression that the prior manufacturer was even considered (or known), or it would surely have been included since the block shape is essentially the same.
Since there are so many similarities in the tool rests, eyeshields, end bells, etc, it looks like Sears handed the tooling over to Paramount/Allegretti & Co and they commenced with the same cast iron designs for several years before re-tooling to the alloy versions in the early 60's. I would not be surprised if the early cast iron "blocks" shared the same motor structure as the prior Packard-made grinders. It would interesting if someone could take some pics and dimensions of their cast iron block components during a rebuild.
If it is confirmed that all cast iron versions have the same motor components, and different from later alloy versions, the decision should be made to either: a) include ALL the block-shaped grinders as "Block" grinders, or b) define all the cast-iron models of both manufacturers as "Pre-Block".
My vote will be for the latter if all the cast iron internals are the same (and different from alloy versions).