Welcome Kelly! Your greenhouse looks really fab! I wish I had a handy husband like that.
I do use mulch on the floor of my greenhouse, I use Cypress mulch. But me greenhouse is a 'planted' greenhouse. There are no benches, most of the plants are either planted directly into the ground, mounted onto wood, some hang in baskets (orchids mostly). growing up totems, or in containers waiting to go into the ground.
I put in a small pond and a 40 foot stream/still pond to have water to create humidity in winter and hold and reflect heat.
The three central paths are lined with flagstones that also absorb and reflect heat back, and the paths are mulched.
My soil here is nothing more than sand, so the repeated applications of mulch almost every year have worked to help amend the soil, and also to hold and retain water around the roots of some of the more water hungry ones.
I tried laying down small river rock over landscape fabric in some areas, but it didn't work for me. Once the landscape fabric started to deteriorate, the river rock sank into the sand. Makes for good drainage now.
I think it all depends on your purposes. If you are going to have a traditional greenhouse with benches to set your plants on, and you have soil different from mine,(which I am sure you do) a pebble floor would look fantastic especially with flagstones!
Please show photos when you get to that phase! I love to look at other people's projects to get ideas on how to improve my own space