it may well have been difficult before the industrial revolution (and more widespread use of machine tools) for small workshops to make the valve or rotor mechanisms with sufficient precision as not to leak or get stuck.
I think that's almost certainly the principle reason why valved brass instruments came about at the time they did, RB
When we were discussing "trumpets versus cornets" (in relation to the Rossini/Verdi repertoire and HIP) some while ago, Ollie pointed to a social division which limited trumpets (for various military and heraldic reasons) to the retinue of nobles, princes, counts, field-marshalls, margraves, landgraves, Electors Of Palatine, and sundry nobs and toffs. No-one else could have them, although they could play "on loan" elsewhere by prior agreement. This "closed shop" gave little encouragement for technical development of the instrument, whereas the emerging prosperous merchant and professional classes in the C19th could afford to have cornets - and did so. Once cornets had "pinched all the work" by dint of valves which permitted them to play conventional melodies in the "central" part of the treble clef , the trumpeters were forced to back-down and add valves likewise. So this could be another reason why valves came late to the trumpet?
However, admirers of tradition and ritual will be pleased to note that trumpeters still consider themselves a race apart from other orchestral players, reserving the right to send deps/their students/a sick-note to all rehearsals except the last two... and when they do turn-up, they retain the right to adorn themselves in the finery of their Guild Livery (a leather jacket, obligatory moustache etc). A First Trumpet will refuse to "count rests" on demarcation grounds, thinking himself too important for such tedium - and depute this task to the 2nd Trumpet, who is obliged to do it for his boss
In my misspelt youth as a wannabe brass-player I had the huge privilege of meeting Christopher Monk - a man who knew more about playing, restoring and reviving historic brass than anyone else at the time (only CM could form a serious ensemble called "The London Serpent Trio" - of three serpents - the original line-up was CM, Andrew Van Der Beek and Alan Lumsden). He had somehow acquired and restored a
valved keyedtrumpet to playing order, and let me have a play on it. The immediate problem I noted was the massive disparity of tone-quality between "closed" notes (where all the keys were shut) and "open" ones where 2-3 were open together, which made any kind of "legato" sound very ropey. I think modern players of this instrument mostly go for a technique where you try "never" to use the "closed" notes (despite the rewarding sonorous timbre they have) and play entirely on "open" ones to produce a more even, if slightly strangulated tone across the range. (It's also the instrument for the Hummel Concerto, the Hummel "Military" Septet, and quite a few other works).
Here's an early two-valve piston-operated trumpet from 1840, anonymous Austrian maker.
Don't be misled by what appear to be "four" valves - that's an "in/out" entrance-way for each of the two tubing extensions.
The valves are "semitone" and "tone" respectively, so this instrument couldn't play all notes in the lower end - presumably
no-one really thought of trumpets playing "down there" at the time anyhow? Also included with the instrument
is a complete set of crooks, to pre-set its "home key" to whatever was needed for the piece in question.
The valves are operated with the two "clarinet-type" keys, and return to position using watch-maker's springs!