For that size they would twist 2 - 1/2 " together and force it in the gap . That doesn't work with the self leveling . Pool noodles would work , just make sure it's tight . The stuff we used at work was not as loose as the stuff you posted . I've used the stuff you linked , it flows fast . Any gaps in your backer , and you'll lose it all .Just measured it....gap is running 7/8"~1" wide. Too big for 3/4" backer. Do they make a larger size? I hear cutting pool noodles down into strips works....might try that.
Rigid foam ripped to size works too . As does the spray foam . Just don't let it expand above the joint .