Universal seems to have much more fluid pricing than Disney. Disney has rack rates that are basically set (until they raise them, of course) by time of year, day of week, and holidays. Universal outsources its hotels to Loews, which is an actual hotelier, so their rates are more like those of "real" hotels, which fluctuate with supply and demand. People on the Universal board frequently write of checking back daily for rate changes.
June of 2020 is too far out to get a sense of what the rates will be then. They will change many times over the coming months. Best bet is to book a refundable rate, and rebook when you find a lower rate.
Also, I think Universal hotels offer MORE than Disney hotels do for your money. Stay at one of the 3 deluxe hotels, and you get unlimited express passes. Sapphire falls has pools and facilities far and away better than the moderates at Disney. We stayed at Cabana Bay about a year and a half ago when CB was the "value" resort (now with the Endless Summer resorts, I'd say CB is sort of Value-Plus), and we had two courtyards with pools - one with a water slide and the other with a lazy river. Disney can't touch that.