Anne — I was watching this, and couldn't make up my mind. I think it very unlikely as the tray looks impossible to make by cutting, but is in the loosely termed "imitation cut" style, and I know of no other examples of this style by Walsh. I didn't recognise the pattern, but I've not checked the Pattern Book pages in Reynolds.
Known examples of Walsh pressed are either genuine imitation cut, as in the two examples shown in Reynolds on page 38, or are extraordinary items, like the early registered ornamental epergne block shown in Gulliver.
In addition I believe that Walsh, along with all the other Greater Stourbridge glass houses, would have used the press whenever cost effective and difficult or impossible for their buyers to detect, such as in the production of blanks.
Bernard C.