will many open chats stress a server even with few users ?

hi,

basically will i run into complaints from my host if there are many open chats running on the same site even if they are not all filled with users ?

example :
place a chat in every course (CoursePress) or even several units of the same course.
I do not intend or expect to have them all filled with users constantly but the point is to have all the rooms constantly available for the night owls and early birds alike.

so lets say roughly there are a couple dozen open chats on the same site all open with low polling intervals and no users.
will this still send lots of requests and be to much for a shared hosting environment ?

kind regards.