Still, I think you need to have a certain "quantity" of transitional elements before you can begin talking about variety, difficulty, etc.
For variety, yes, you need at least 3 or 4 notable transitions in order to have at least 3 or 4 different kinds of transitions. But if they're all difficult, that would cover both variety and difficulty without high quantity.
And "Continuity of movement" (which replaces "intricacy" as of a couple years ago) as I understand it doesn't need any additional named moves, just a lack of telegraphing/tightening up before elements and a general sense of every move flowing into the next.
Imagine the following two men's short programs:
Nice fluid stroking with simple turns and simple fluid arm movements into 4T+3T
Back counter into 3A
Hydroblading directly into spin
Russian split, mazurka, Russian split into 3F
Step sequence ending with stars directly into spin
Nothing else you could note down as a highlighted transition, just more simple stroking and fluid but not highlighted use of the arms and upper body, but everything performed well and continuously
That could score well on all 4 criteria without a lot of quantity.
Another program could have something between every element: many arm movements, steps and turns, and very brief Ina Bauers or inside spread eagles that serve more as additional steps within a series of steps than as sustained glides, but the edges are shallow, the turns are often not clean, and there is also usually a pause between each set of steps and each jump so that none of the jumps including the solo jump come right out of preceding steps.
That should score lower on all 4 official criteria even though the program would look busier and if you were counting up the number of times the skater was doing "something" between elements the quantity would be higher.