I didn't invest a lot of time in it because when these papers show no practical applications I always assume that the constant factors are too high. Especially when there's also no specific values of the constant factors presented. It's still somewhere back in my mind to implement it one day to figure out the nitty gritty details.
Back of the envelope calculations from the abstract: An 8-bit tiny pointer would be sufficient to reference an array of size 2^2^2^3 ≈ 1e77 (≈atoms in the visible universe) with fullness 31/32 ≈ 97%. Or size 65536 and fullness 63/64. For 16-bit tiny pointers, there's no point in going bigger than the universe; fullness goes to 99.98%. Like you, I'd love to see such an example worked out.
