I haven't seen the show, but I suspect what you are seeing is the difference between court attendants and servants. To be a servant like a kitchenmaid, perhaps a lowly scullion, that never really interacts with the royals or is paid that much is not prestigious. But to be a personal attendants, involved in intimate things and paid significantly more (in addition to your existing wealth) is prestigious. Especially give the ceremonial importance attached to things like dressing a royal. It was very serious business.

Consider, for a moment, that one of the highest ranking offices in the English and British royal courts was the Groom of the Stool (or Stole). Which was the person who passed them the chamber pot or passed them the wiping cloth. The loo attendant. But this was because it gave them such intimacy and personal importance to the monarch. It had to be someone trusted, given the kind of personal info they might learn about your life and your body, and they could petition you at your most vulnerable. Intimate high-ranked attendants of this kind might share a bed, take a pallet bed (sort of a spare mattress) or stand watch while the monarch or royal family member was sleeping. Very important.

Also consider that these sorts of attendant roles weren't hard physical labour, and they may hold other roles and offices, certainly they would use it as platform for larger political involvement in of itself. So they weren't lowly. Bodyguards and chamber attendants were well-respected roles. As a general rule, the closer you were the better, the further the lesser. The Gentleman Pensioners were the inner bodyguard of the English and British monarchs, while the Yeomen of the Guard were outer and less highborn (its kind of implied in the names, yeoman is not as high a social rank as gentleman).

The traditional European court from the late medieval into the 19th century, where it begins to fade, was very much an extended social network and a place of many kinds of power coming together and then spreading back out. Simply being present at court more often could be tactically advantageous, just to be noticed and hear the gossip. Networking was even more important in the past than now.