This last May was the first year Galaxy's Edge was open for May 4th. Opening in Fall of 2019, so not opened in May 2019, Disney was closed mid March to Mid July 2020. I believe in May 2021, WDW was still around 50% capacity, so of course reservations sold out. So 2022 will be the first year with likely full park capacity. One positive is the Star Wars star cruiser voyage to Batuu should happen on the 3rd and 5th, that's only about 500 guests, but will be good they're not adding to the crowd size that day.
If you have die hard star wars fans, I'd definitely say go on the 4th and enjoy what you can just to celebrate the official star wars day. If you're more meh, I'd probably choose a different day. Also, as I mentioned earlier, star cruiser guests arrive every other day, so might be worth trying not to hit one of those days as well if possible. May will be Odd number days.
Enjoy your trip!