Not sure how much weight you desire to move while in the pallet rack. John, do you have a link to the bolt on style casters? have never ran across such a deal.
My own experience with mounting casters on pallet rack goes back over 20 years. The 18" wide teardrop style uprights were 14' tall & I cut them down to 6'6" so I could roll them out of my garage in town where they were positioned up against one wall. Ended up welding steel plate to make new feet for the top pieces. The casters I installed were new & what we deemed relatively HD. Picked them up in OKC from a business that all they sell is casters & I gave the owner a presentation of what I was trying to do. Installed a fixed pair on one upright, & a set that swiveled on the other upright.
With eight 7ft long beams & 4 long pieces of 5/8" plywood dropped onto the insets, the empty racking sections moved quite well. I rolled the first section up against the N wall & began loading the 3rd layer up with assembled Muncie 4 speeds. The next shelf down was cast iron Pontiac intakes, turned on their side with a double stack of 28 qt rubbermaid tubs on the left end (tripower carbs & linkage). Bottom in the rack, was five 48qt rubbermaid tubs with disassembled Muncies, & more heavy loaded Rubbermaid tubs to the right. Very top shelf @ eye level was boxed ring & pinion sets & tubs with relatively light parts. Total weight loaded in the rack, I'd guess 1800-2000 lbs. When I finally did attempt to roll this small pallet rack section out, it would barely budge, & the two swiveling casters would not track straight. At the time, I was like, if I had even more HD casters, and if I made a drag link setup, where both of the two swiveling casters were tied together to roll at the same angle, would that have helped? I don't know. Ended up in 2018, taking that section & another 18" deep rack & put them up in the back "kick out area" of my big shop where the ceiling height drops down to near 10'8" tall. All of my other pallet rack in the shop is stationary, 36" wide by 14' tall & a 32" wide x 12ft (engine bank). All utilize 4x3" sized C channel style uprights, with all but a few c channel beams (way up top) being of the boxed variety. Another three 4 ft wide sections along with 12ft long hd beams make up the floor supports to a mezzanine in the front corner of the shop.
Other than one 36" wide 10 ft long 14 ft tall section which abuts a large work zone in the very rear of the shop, I've never considered moving a section over. Would I like to, sure, I'd love to roll the tool cabinets & workbenches out of that large rear area & move the long pallet section to the east 4 ft & have the empty footprint shot blasted & epoxy coated. Eventually, one day, would like to do that