The sonic screwdriver was featured in only three Troughton adventures, "Fury from the Deep," "The Dominators," and "The War Games." In those episodes, it was used only to drive screws, open doors and hatches, and in one case as a cutting torch to cut through a wall. At the time, it wasn't a special prop, just a simple penlight. So it wasn't a major feature of the Troughton era. It didn't really become the trademark implement we know, or gain a broader range of functions, until the Third Doctor's era.
Which makes sense when you think about it, because the Third Doctor was far more gadget-oriented than the Second. Troughton was more of a feckless cosmic tramp whose preferred response to danger was running away, followed by outsmarting it. Jon Pertwee was more of a man of action and brought a certain James Bond flavor to the series, with lots of high-tech gadgets. So the sonic screwdriver fits into the Pertwee era more readily than the Troughton era.
Which is part of what I've been saying all along -- that people who see Gary Seven's servo as similar to the contemporaneous sonic screwdriver are projecting anachronistic traits onto the latter device, qualities it didn't acquire until years, even decades later. The sonic screwdriver of 1968-9 was quite dull and unimpressive compared to Gary's servo. I doubt it would've stood out in anyone's mind as something worthy of imitation.