Note that each team is allowed up to a maximum of 2 players using the weakest eligibility on the entire roster (for team captains).
Your main eligibility is the strong eligibility, and you are allowed to state weak / weakest as eligibility, but this doesn't necessarily trump your strong eligibility.
Weak / weakest eligibility trumping strong eligibility is entirely up to host discretion, and if we feel people are "playing the system" by lying / jumping around, we'll have no problem stating you only qualify for your strong eligibility.