Sometimes you will have to dig a little deeper, yes. I get the feeling any well designed system will have multiple points in which tuning can be done that opens up a nearly unlimited banks of EQ options. My basic analog system utilizes a dbx Drive Rack PA from 2003 ( OLD AS DIRT NOW ) and it has a 28 band graphic EQ for the input side with 3 bands of parametric EQ for each output passband. So while not winning any awards, it gives a rather good range for tuning.
For example, the new JBL SRX-800 models have 20 parametric EQ's in them! Most digital desks have 6 filters for each mix buss and if you really need another set you could technically route the L/R etc. through a matrix that will open up another possible 4-6 filters. If you have an analog system with some sort of DSP controler, you may have at the very least a full graphic EQ, but you will usually also have 3-4 post crossover filters as well. I use a Behringer Ultracurve Pro DEQ2496 for my analog monitor processing. It has 10 parametric filters per channel and of course a full graphic EQ as well. Once your in the digital world, options seem to open up a lot.