Rolling resistance is caused by two things: knobbles on the tyre, and the way that the tyre deforms from perfectly round at the leading edge of the contact patch.
A smooth tyre has less rolling resistance, obvs.
At any given pressure, a wider tyre will generally have a shorter contact patch. This is because the contact patch will have a similar area, but the width of the tyre allows it to be a wider, and therefore shorter. As it is shorter, there is less deformation between the perfect roundness of the tyre and the leading edge of the contact patch, hence, less rolling resistance.
A third consideration is that wider tyre can provide the same support at a slightly lower pressure. This means that the flex of the tyre will smooth out the effect of minor imperfections in the road surface. As a result, the unicyclist is not burning energy lifting their weight a few mm over every tiny bump and ridge in the road. The unicyclist’s centre of mass moves slightly more smoothly, and therefore more efficiently.
In road biking, there was a time when, in pursuit of speed and efficiency, riders were using tyres down to about 19mm at pressures of 130 psi. However, experimentation and experience have shown that something around 25mm to 28mm at a lower pressure is actually faster, with the added benefit of being more comfortable. Tour de France riders typically ride 25mm tyres now.
A unicycle has only the one tyre (count 'em!) and therefore, to support the weight of the rider, it needs either to be at a higher pressure, or wider.
When I had a general purpose 26, used for road, easy cross country and general riding, I had a Maxxis Holy Roller tyre which, from memory, was about 2.3".
I have a custom 700c wheel on one uni, with a narrow road bike rim. I have had 23mm and 20mm tyres on it. There is no doubt it is more comfortable and faster now I’ve put a wider tyre on it. From memory (I’m indoors and it’s in the garage) it’s about 32mm.