The gestures @irreversible is missing is probably gestures provided by the Synaptic driver itself, rather than built into Windows. That's how it is on my laptop. So he's having trouble installing the drivers. Perfectly understandable, because driver support on Windows is a legitimate complaint and always has been, going back decades (literally two decades - Win95 and earlier). This is because the drivers are created by third party companies (in this case, Synaptic) and are "supported" by those companies only to the extent that those companies deem it profitable, so sometimes hardware conflicts occur. This isn't Microsoft's fault, and has been a thorn in Microsoft's side for (as mentioned) over two decades.
In this case, the clearest approach to solving the problem is to contact Acer's tech support, tell them that their integrated touchpad isn't supporting gestures, ask them what the appropriate driver is for that model laptop with Win10 (they may even offer to mail you the driver disc, but it may not get to you in time - might as well have them send it anyway, unless they want to charge you for it like HP does), uninstall the previous driver before installing the new one, then configure the gestures because they may not be configured out of the box. You can plug in a USB mouse in the meantime.
Like I wrote in my OP, I don't miss the gestures. In fact, I couldn't care less about them. What is driving me nuts is that I cannot install ANY drivers. At all. The installer package just "does something" for two seconds and then notifies success, but no drivers are installed. A skeleton (almost empty), extremely shallow directory structure (with at most a few files) is created for Synaptics under Program Files and nothing more than the Synaptics HID Device is added under Device Manager -> Human Interface Devices. I should note that the Synaptics driver package is several megabytes and contains several services, which all exist as executables with the installer (although the official download seems to be lacking those, which seems odd in its own right).
Device Settings like this never appear for me:
[attachment=30096:1_en_mouse_properties.jpg]
In short, no driver is installed and therefore there pretty much literally is no previous driver to uninstall. The only device I can see under mouse settings is a generic HID device.
I should not need to contact support to install a bloody touchpad driver.
Seriously - I knew I would likely have a hard time with the touchpad, because I've been through this before, but I've never seen anything this messed up as far as glaring inexplicabilities go.
As far as downloading the correct drivers, Acer's support page (at least on the surface) is pretty user-friendly. You really don't need to be a genius to use it:
[attachment=30095:acersupport.jpg]
The driver version is not the latest, but should be okay. Just to check, I've tried installing the complete driver bundle from Synaptic's home page (as well as older versions) and they behave in exactly the same way.