Yes, with one I had straight up bleeding for 8 weeks, and daily spotting for another 8 weeks or so (was on mini-pill starting at 6 weeks) for a total of 4 months. With the second, the first 8 weeks was the same, and then I had daily spotting for another 4 months for a total of 6 months - on mirena postpartum the 2nd time. Dr said it was normal both times and not to give up - my body would adjust eventually and switching birth control would just prolong the adjustment period even more. Both times everything resolved on it's own, it just took longer than I expected it to.
Although the spotting was a hassle, the good news is that both were effective birth control for me, and neither affected my milk supply.
So, yes, it is very possible that your mini-pill is prolonging your adjustment, but that doesn't mean you need a new pill. It probably just means that it takes your body a little longer to adapt. You can give your doctor a phone call to get his/her opinion.