Especially for new divers, part of the learning process is in dive logistics like planning the dive, setting up the gear, etc. Whether the dive was only 19 minutes seems to be splitting hairs beyond reason. The dive should count because most of the work was done regardless that the dive was cut short. It's still a dive, and probably the next dive will be 21 minutes or more, which makes up for the total time in the water.
Perfect example: My first dive after getting Trimix certified. I spent a lot of time over several days, mixing gas, preparing gear, cutting tables, etc. Then, on the actual day of the dive, I spent half a day loading up and then going out on the boat, and in general, a lot of time planning, preparing and just thinking about the dive.
The dive itself was a cluster and only lasted like 7 minutes, I think. During which time, the three of us got separated, missed the wreck and one of the divers got bent. Did I count that dive? Absolutely! I learned more on that dive than the 50 previous, even though it was probably the shortest dive I have ever done.
As long as you're actually doing the dives, count them. It's only when someone is trying to do something like fudging on a minimum dive requirement, that I would object. You know the saying, "There not cheating anyone but themselves..."