Without re-designing the impeller geometry and vane profile, the only way that you will hit the BEP is out of sheer luck.
You start with a duty point and look for a pump whose published performance will meet what you want. You may have to trim the impeller a little bit, but you cannot always hit the BEP all the time. Moreover, the only (or best) pump that you can find to do the job may be operating to the left of BEP (preferred) or to the right - it's just a matter of the luck of the draw.
Of course, if one wants to redesign the impeller and match it around a certain duty point (which is almost never done, but I have done it a few times - safety-related nuclear pumps come to mind).
So, what you have are designs that you are stuck with where the only thing you can practically change is the diameter of the impeller and a little backfiling/polishing to improve efficiency and head (respectively).
With multistage pumps, there are various options. The physics is still the same (except most use diffusers and not volutes, but I digress) and so you are still left with a crap shoot on where you are in relation to BEP. You can trim impellers in a multistage pump but not nearly as much as a volute pump because of the diffuser. So, if your duty point falls in the range of BEP of a multistage pump, you just lucked out like it's horizontal cousin.
Your point may be the trimmability of a multistage vs. single stage pump. As discussed above, multistage pumps can only be trimmed a little bit because the impeller tip/diffuser clearances will become too wide and you will just kill performance and reliability. In that respect, multistage pumps are more limited and unless you luck out on the duty point, you are kind of stuck. So what do you do? You design and offer wider ranges of impeller hydraulics for a given pump size.
While horizontal pumps generally have just one or two impellers that can go in the casing (hydraulic design) because the pump mfgr has decided not to go too wild in hydraulic choices there, multistage pumps do sometimes offer 2, 3 or even 4 impeller designs for any given pump size. In this manner, you have a wider range of BEPs than a single hydraulic so you open yourself up a little more.
This is why you have to look at each pump seperately from a generalized case. While some mfgrs may offer only 1 or 2 hydraulics for a certain pump size, others may ofer more.
As to actual duty point - it never operates at design because of what you said. System designers come up with a calculated TDH from friction loss and static height. The static height is pretty cut and dry but unless your fluid is laminar (which it never is except in a few esoteric cases) the friction loss is just a guess - a SWAG if you will. To account for future pipe corrosion and degradation, a little more head is often included in the TDH calc - usually 20% or so of the friction loss. There is no need to add 20% to 5000 ft of TDH when 4975 of those feet are to overcome boiler/reactor pressure.
Because the TDH is overestimated, and this is anticipated, the desire to have a pump whose duty point is to the left of BEP is the norm. That way, when the pump runs down its curve to the actual operating point, it is moving closer to BEP and not away from it.
I hope this answers your question. Please pardon any spelling errors - it's late and I have to go home
Regards,
Tim Steadham, P.E.