Well, the Basic Team is not just "all the units free players get at start" since it includes both more and less of what these players get. For example, you list an optional princess in the roster but only 1 rogue when starting players will have 2 (3 at lvl 50). The Basic Team is the best foundation that new players should aim for, so the Intermediate Team should expand directly from this foundation, which will in turn feed directly into the Advanced Team.
So with that in mind, I think you should build the Intermediate Team from the Basic Team:
So let's go ahead and consolidate the valk, princess and bandit into "Duelists" which would make it 2-3. Let's also say that if the rogue wasn't leveled from before, it should now be in the team: 1 rogue. I don't think we should list the other units from the Basic Team as "1-2," these should just be "2" still as we are building from that foundation. You should then add in a guide below the list that helps players to decide what they can swap out. Kind of an introduction on "How to use the Intermediate Team".
Other things that should go into an Intermediate Team: 2-3 healers we agreed on already. I think 0-3 anti-rush is also feasible as this gives the new player the option of leveling/min-costing bronze soldiers if he/she has nothing else to work on at the moment (this should be part of the Intermediate Guide: the min-costing of Bronze Soldiers that is, and why they are useful).
Should also include a section about adding in event units and noticing where they fill into the Intermediate Team/ whether they should be a priority level-up after the Basic Team is done or if they can wait until the Advanced Team. I still think 0-1 assist is all that is necessary, but maybe add in 0-2 rear unit to give players the option of adding in a specialized rear dps that they get off of an event.
Also, to help differentiate between Bronze Soldiers section and the Soldier section, maybe change Soldiers to Soldier Chiefs, to emphasize that this slot is only filled by Silver+ rarity soldiers. Then, in the Basic Section, maybe make a note that the Soldier Chiefs must have Reinforcements skill to apply for the position; no Craves please.