I have only so much control over temperature and humidity, though I may roll out some pebble trays in my tiny grow area. What about spagnum moss vs tiny bark chips?Yes, and absolutely.
How warm are you growing that Paph? The type you have is colloquially referred to as a Maudiae type, and these are overwhelmingly plants that prefer warm temperatures year round in my experience. Elevated humidity levels, typically in the 50% - 60% range are a good balance and that goes a long way towards keeping the plant happy.
Though I will mention, some plants and some hybrids just aren't great clumpers and tend not to produce tons of basal growths in any season.
I haven't tried it, but some people have reported success with applying hormones called "keiki paste" to the base of their plants just above the roots where new growths typically form. It may help stimulate development of otherwise dormant eyes. No guarantees there, though, and honestly I think this methodology would be a last resort. Better to focus on improving care routine and growing conditions, at least that's my opinion.
I have tried keiki paste on Phals and Cattleya. It works great on Phals getting them to sprout more spikes from existing blooming spikes, but I noticed that those plants had a lot spindly spikes and a high degree of bud blast, which I'd never seen before. Maybe I went a little bit overboard, and a more judicious application might have better results. I think the phals are better doing what they want to do, bloomwise.
On cattleyas, I had hoped that they might get inactive leads to sprout, but it seemed to have no effect at all.