I think these are "scratching" bits hence the drag name. A burr should be spinning but the drag bits are spring loaded to control the cutting (scratching) force (down pressure) and spinning it in the spindle (imo) would likely break the spring. I'm looking for the proper diamond burr bits for this process and if I find them I'll advise.
Here's a drag bit I just found on ebay, don't know the seller and have not purchased from him ,
Also saw "drillman" on ebay has router 1/4" shanked diamond burr bits, with so many referring Drillman, I will buy from him when I'm ready.