The glitch certainly does sound like dropped data, though I’d be surprised if it is due to, or entirely due to disk speed.
SSD’s are certainly MUCH faster than any spinning disk drive. Using an SSD would ensure that there is no data bottleneck at that point, though it is not guaranteed to solve the problem. The first thing to look at (and look closely) is what else is running in the background. I’m rather out of date on Windows as I’ve rarely used it over the last few years, but I’d guess that the Task Manager is still a good place to start. Open the task manager and attempt to identify all of the applications and processes that are running. See which ones are eating up CPU and RAM. Check which ones may be safely shut down.
For testing purposes, I mostly use a cheap laptop with a 5400 rpm hard drive, (Debian Linux OS) and I don’t get audio drop-out unless I’m pushing the system really hard. This shows that even a slow hard drive can perform well enough if the recording task is not too demanding.