Check the rubber seals, check the plugs, black plugs = leaking.
^ THAT ^
Rich running with correct jetting is the main suspect symptom.
We know of no way to test for leaks manually by allowing liquid to remain on / in the plunger seat area for long periods because of the design of the carb body.
If checking visually, use the very highest magnification you can obtain & good light. A 'donut' depression around the center needle is normal where the synthetic rubber contacts the seat. Radial cracks in the seal guarantee a leak. Be very careful handling the plungers, as the center needle is thin, soft brass & relatively easy to bend.
We experimented with soaking the seals in acetone for a short period to cause them to swell. We don't yet know how long afterward doing so will improve sealing. A member on another forum suggested wintergreen oil; we haven't tried that yet.
KZR forum member ZED1015 offers a service to refurb OEM starter plungers with new seals.
Niche Cycle offers new VM29 smoothbore plungers that mic the same as the OEM plungers in VM28SS Z1/A/B carbs. Dimensions are on the order page. The shafts are raw brass instead of plated. We're testing a set this season on a '74 Z1-A. So far, so good.
Good Ridin'
slmjim & Z1BEBE