I empathize with how hard being staff on a site can be, but I have to agree with 11's sentiment that it's not an issue of title. At the end of the day, regardless of what you call it, the people in charge of a site are in charge of the site whether you call them staff, admins, moderators, dungeon masters, architects, etc.
When you create a group, you take on the responsibilities that entails which, in the case of a roleplay, are to help the members you've invited into your group. This includes answering questions, settling disputes, and making sure the group functions as intended. This is true for any group whether it be a TTRPG with you and four friends or a roleplay forum with 100+ members.
It can be rough, and thankless, and some people
do expect way too much of administrators, but an important part of running any group is setting boundaries. If you feel like you've become a 24/7 help desk, set clear expectations on when members can expect help from you. Pick a day of the week, or a time frame like 48 hours. Alternatively, it might be easier to invite others to help moderate to lessen that load a bit so the responsibility isn't all on you.
Worst case scenario, like you said, members are not entitled to a place on your site. Kick 'em out if they aren't respecting boundaries or are entitled.
tl;dr Even if it's unpaid, and a hobby, making the decision to run a group is also making the decision to become a community leader and accepting the responsibilities that come with that. Changing the name isn't going to change that. The only real way to reduce the number of entitled members is to set clear expectations and cut out anyone who can't respect that.
It's not an us vs them situation. I've run into disrespectful members when I've been a moderator and admins who use the "it's just a hobby" mentality to excuse incredibly disrespectful behaviour when I've been a member. It's a complicated and nuanced issue that changes from community to community.