I'm not sure if they'll be open in June but I have some advice about July. Call and cancel, but sound unsure about it.
My wife and I are driving my friend Aisling back to her home in Orlando the third week of June, but we needed a place to stay for a few days while my wife and I disinfect her house (she's a very tidy person, but her immune system is wrecked and she's been staying with us during the lockdown and we're all a little paranoid).
I booked a park view room at 4S hoping the parks would be open to some extent and we could enjoy fireworks if they were having them (crosses fingers). Then, lately, I started thinking that getting a suite with a separate bedroom would be best so if someone needs to sleep during the day, the rest of us aren't walking on eggshells.
When I called to cancel the room, I mentioned needing a suite for the week and that we'll probably book with Westgate to keep our view of the fireworks. I was just being amiable, letting them know it wasn't them, it was us. A park view suite at 4S is like $2400, no one can blame me for not wanting to spend that kind of dough. The agent got right back to me and offered me a golf course view suite for the price of our original booking; something like a $400/night discount. Well crud. Great deal but doesn't get us what we wanted. Being something of a masochist, I asked if he could swing the park view suite for the price of the golf course view suite. This one took a 5 minute wait on hold but he booked the suite we wanted for about $1500 a night. Then I called back to shorten the stay by 2 nights, which is kinda a jerk move but I'de just about doubled the cost of our stay.
TL; DR Version is, they have rooms and will work with you to fill them.