I've just read a recent essay in the Heidelberg University Publishing that I don't want to link to in case of copyright.
From reading that, it seems the acid etching technique on glass actually goes back many centuries and was known about and used.
There is an example of a really beautiful piece of acid etched glass from the 1600s in one of the German museums shown in the essay.
The author does mention Pellatt and appears to me to say that Pellatt didn't really mention acid etching. That comment/part is curiously worded so I think I've understood what it meant correctly. Anyway, that seems to be similar to your comments about Charles Hajdamach's mention.
I'm surmising here but I suppose that could be because hand engraving was seen as real craft as opposed to acid etching, which I suppose could be seen as less craft/person technical if you see what I mean? Or it could be that acid etching had gone out of vogue. It definitely was referenced as being known about, and used on glass, many centuries ago.
With regard to Pellatt, I think these things are always difficult to put real meaning to because for example I read in Bohemia they didn't focus on pressed glass because it would have taken away work from their glassmakers. i.e. there was an economic reason why they continued with handmade glass in the 1800s not that they couldn't produce pressed glass (and I think there were a few makers who did). Pellatt may not have wanted to discuss it because they were hand cutting and hand engraving at Falcon and why promote something you didn't use, or perhaps didn't feel had the same quality as hand engraved work?
Or it could be that the technique of acid etching wasn't widely in use here/at that time frame even elsewhere, therefore Pellatt didn't cover it.
I've not checked your Hajdamach reference so apologies, and neither have I looked in the Pellatt book to see if anything was said at all on the subject.
The author of the essay does mention the 'launch' (my words) of acid etching in the UK in the mid 1800s as being when it took off.