As I clarified on the other comment, I meant "big" as in "retail big" (i.e. a couple thousand shares of TSLA, or any order big enough to be fulfilled by matching several sell orders.) I can't really recall that many of my orders being filled
below my limit price, unless I was willing to increase the limit by a few cents over the NBBO.
If the ask price for a security is, say, 5.51 and I put my limit at 5.51 the chances of getting the order filled were pretty low. If I was willing to go to 5.53 the chances would increase, if the order was 5.55, I'd probably get a fulfilled order at an average price of 5.53 or so. Not a huge difference on small orders (say 1000x2c = $20) but enough to make a "big" volume, small spread strategy pretty much useless.