Yes - low cost - was more interested in understanding the continuity capability of my multimeter. Cannot seem to find a similar situation on the web.
Continuity is effectively measuring the resistance between the probes, and expecting it to be less than a set amount - usually a few ohms. It's more useful for measuring wires/switches (that are supposed to be near 0 ohms), than for motors which won't (shouldn't) be 0 ohms.
A large motor will have very low DC resistance, so may continuity check Ok. Similarly a filament light bulb. However, smaller motors, pumps and bulbs will have higher DC resistance and may not continuity check correctly.
What you DON'T want with any motor, bulb or lamp is a dead short - zero ohms. That indicates a short in the unit, and the wires may well emit some of their latent smoke if you power it up. There should always be some resistance. You don't say what the supply voltage is, but an 11VA pump when running from a 12V supply will consume about 900mA, and so should appear to have a resistance of about 1.1 ohms. This may or may not continuity check - depends on the meter.
It's a bit more complex than that - motors tend to increase in resistance as they spin up( reverse EMF and all that guff), so they'll read low resistance when continuity checking. But they shouldn't read zero.