Got 11 myself at around a 1000, then proceeded to 2000 without getting over an 8 lol.
I've got multiple streaks of 12+ losses at 35% chance, before having 6 wins in a row. Random is weird there.
Yes, a 50% chance of relic drops is still quite low to find 12 relics in a row. And there’s no tweaked mechanic that would guarantee you’d find all the relics even after 1,000 more attempts.