according to some of the books, yes, apparently they do, but it may well be not in the usual sense of a deceptive 'toastmaster's glass', where the capacity was reduced deliberately to avoid inebriation.
With tumblers it may simply be that the method of manufacture created the 'deceptive volume'.
Despite their naive simplicity, some of these mid C19 pressed tumblers aren't always easy to date - it's a pity that the engraver of these pieces didn't include the date.
Those examples with more pointed and narrow insides show that the press punch used was of a similar profile, and used because that shape required less effort when pressing into the molten glass. This process creates the very thick-walled lower portions of the tumbler, which gives rise to the deception.
These tumblers don't have a pontil scar, neither is the moulding confined to the base and lower parts only - which would be indications of a late Georgian/Regency date.
My best thoughts on date would be c. 1860 - 1870 perhaps a little later, but as I say some of these things are not easy to date. Engraving can be both a help and a hindrance - I suspect that with these the style of engraving reflects, approximately, the date of manufacture of the tumblers - but can't be sure. For obvious reasons it's far more likely that engraving could have been applied later than date of manufacture, rather than the other way round

Sometimes the script can indicate a Continental origin, but I guess the name sounds British, but doubt that you'd ever find a maker.
There are some pressed tumblers with the diamond lozenge, but they seem scarce - I've not seen one, yet.
I take it there aren't any signs of mould seams - which means they were removed by fire polishing.
Around the last 20 30 years of the C19 capacities appear to become standardized, and S. & F. show lots of pressed examples ranging from 'tot tumblers' and deceptive 'ice glasses' (penny licks) up to the full pint size, which they seemed keen to call 'soda-tumblers'.
Perhaps someone else has a better idea of date