I rather not take elytras in eggwars.
I get it, you want to reduce camping 'n stuff, but elytras aren't the way to do it.
First of all: If you can get it, others can. This means that they could easily run forever and ever.
Second of all: With an elytra, you'd be able to reach certain parts of the map that you shouldn't be able to, resulting in more camping spots.
Last: Elytras can be used dozens of times before they break.
However, I wouldn't mind them adding a possible way to vote for ender pearls being available to the shop. This could solve camping quite well, depending on who votes for it.
I'm not gonna lie, campers might vote against it, but it's worth a shot. If this is implemented, OP wouldn't have this as a possible vote, as OP just needs to have ender pearls available due to the sheer amount of powerful gear available to you.