The choice between Without an Exciting Name on the one hand and Marriagemaxxing and Studymaxxing on the other is essentially between closing out old business from the Progress (talking to Gwayne about Alicent in light of the Great Northern Tourney's revelations; and keeping up appearances while restaffing the City Watch with Steffon), and embarking on our campaign for the Master of Laws seat (by talking with Lynel and beginning our apprenticeship in his subject). Those really are the only two planks on which the plans differ. And it is probably better policy and definitely more in tune with the big character choice we just made to prefer concluding old business over opening new business.
In particular, we should talk with Gwayne about Alicent, and quickly, even if we have no intention of romancing him, because if we let him stew long enough to turn against us, he could make our life very difficult, by telling his father what he knows or by blackmailing us.
I would in particular urge the voters who have approval-voted for both Without an Exciting Name, and Marriagemaxxing and Studymaxxing, to pick one (and to pick Without an Exciting Name) for these reasons.