It's certainly a "Cut-Ice Lollipop" - just an uncut one. It is not at all unsual for "Cut-Ice lollipops" to be uncut.
It is not a Fish.
Fish vases have the applied wings to the sides;
Lollipops are flat, roundish pieces.
The Cut-Ice Lollipops are a Harris design, not Dobson's.
I don't understand why somebody would have mentioned Dobson to you.

Dobson was the business manager, although he had a great input as a designer as well, and also marked "Mdina" on the base of pieces,
he did not make glass himself.
Your piece might be from the early (Harris) days, but it would be absolutely impossible to tell for sure.
I think some of these lollipops didn't get the final cutting because of the time and staff constraints and it was deemed more important to get stuff on the shop shelves to keep up with demand than to bother with finishing everything "properly".
Looking at the piece you have, I would
personally suspect it was made by Said.
The internal "workings" of the glass are not as "tight" as are Harris pieces, it doesn't seem to have too many lovely bubbles either - and the overall shape doesn't look right to me - but I could be wrong.
I've attached an image of a signed Harris one.