First let me state that as a casual player I am a fan of level cap increases . In BL2 I reached the highest OP level and it was great albeit with a much smaller loot pool. Herein lies the issue with smaller level cap increases and why it may NOT have the intended result the developers are looking for. In BL2, quality gear would last several levels before becoming obsolete. This was accepted and most of my friends adapted with relative ease. That said… this is not BL2.
With a vastly higher loot pool and anointments to match, the replacement of a current bank with perfect rolls that suit your toons would take even the most die hard player an eternity to replace. More to the point… why would you with the mindset that another levelcap increase could be right around the corner. As a casual player I can tell you exactly what I will do… here it goes.
I would likely pick 2 each of my favorite pistol, shotgun, SMG, sniper, shield, nade and artifact and be done until the level cap became exponentially higher. Through farming and trading this could be done in relatively short order. This is not out of lack of desire to play but simply lack of time. I can’t speak for the large pool of other casuals but I simply do not see the vast majority looking to replace 250+ pieces of gear which have been meticulously farmed/ traded for that perfect roll 3 levels higher.