They will keep using the the same lineup. Your opponent was in my league last season and when they went bot, lost two big men to free agency, and weren't very good after that.
One thing to be aware of is that they can be given a new owner at any time. BB starts filling with IV.1, and right now are replacing all the bots that relegated down to D.IV. I'd expect a replacement owner in the next few weeks.
If you're not comfortable with a TIE, especially on the road, I wouldn't do it. If you can't TIE several games in a row, your enthusiasm will tend to drop back down. Though I suppose you could get back-to-back TIEs since your cup opponent is a true bot, and perhaps not a very good one at that.