I'll sum this up right now ... The key takeaway here is that YOU ARE IN CHARGE. Do what's necessary to get the interview and recording you desire.
A few years ago, a production company approached me to create a podcast on food with Nashville musicians. They wanted to delve into the history of these musicians and discuss their experiences with food. I suggested various recording studio options, but they insisted on recording at the musicians' kitchen tables.
This was a mistake, as kitchens are terrible for recording due to echoes and refrigerator motor interference.
For better recording locations, avoid kitchens and opt for rooms with carpeting, cushy furniture, and curtains to help absorb sound. Another option is conducting interviews in a walk-in closet full of clothes.
Turn off televisions, radios, mobile phones, and noisy computers. Close windows or turn off air conditioning, if needed. "Little" or seemingly insignificant sounds add up.
You owe it to your audience and guests to obtain the clearest, best recording possible. Be polite but assertive in ensuring optimal sound quality for your interview.