Coaxial cable 2-way splitter: Should there be continuity between the
two leads (between the center electrode and the outer sheathing with
the threaded connectors)?

I have three of these splitters, two are brand new (Ideal 1GHz 2-Way
Cable TV Splitter; coax connection; one in, two out) and one is used,
unknown brand. Tested with a Triplett 2030-A tester. All 3 show
continuity, at negligibly small resistance, between the two leads.

I've tested the splitters with the cables attached and without cables
attached (only a copper pin to connect to the supposedly shielded
center). In all cases continuity exists between both leads.

I also tested the coaxial cables, with the crimped ends. All test
normal, i.e. - continuity throughout each lead, at both ends, but not
between the leads. This isolates the splitters, but am I interpreting
things correctly?

My natural instinct is that there should be continuity at both ends of
each connection, but _not between_ them. But then, what do I know. So,
for any cable guys, out the do I have three bad splitters, three
good spliters? What am I missing?