I get that its the main source of drama but, at this point, it seems like its relatively easy to "cover up" the otaku habits. Rich families cover up drug abuse, predatory activities, and extreme fetish stuff all the time. This couple's "horrible secret" is the otaku stuff, not a big deal in compariosn. And the household help are trained to be tight lipped about any peculiarities of their employers.
Heck, the other source of drama is weird too. Of.they start getting along publicly as a couple, all but the most oddly evil family would support it. Its easier to control someone who loves you after all.
I like this manga! I just tbunk it would be fine as just showing them growing as a couple without the weird external drama - even the nicest relationships are hard work!
I mean they could even reflavor the drama as them having to keep their otakuness hidden from the public, rather than "everyone".