Considering that games like TiTs, CoC 2 and... Corrupted Saviors? I think that was the name? have their dedicated fan-bases and still seem to be going in terms of development and whatnot... I'd say that yes, there's still people interested in playing primarily text based games, and not just VNs.
I couldn't say how profitable they are though.
At the end of the day, these types of games are very tricky to get right. Writing matters a lot and it's very easy to end up with something that's very meh if the writing isn't at least passable. The mechanics of whatever is being made also matter a lot for obvious reasons.
Since we're talking about a game here, and not just a VN, then the gameplay, such as it is, makes its own difference. Corrupted Saviors is, after all, primarily played because of the gameplay as far as I'm aware.