No, SN10 is not even remotely like any of the Starship stages, although it looks similar in shape to what the second stage is expected to look like. (The first stage is the superheavy booster, which will re-enter and land in much the same way as the Falcon 9 booster - tail first, with an "entry burn" and a "landing burn")
SN10 is a test article, nothing more. It has much the same sort of role that the SpaceX "Grasshopper" had, i.e. proving the concept that autonomously hovering and landing a rocket at a precise location was feasible. It is purely for testing the concept of free-falling towards a landing in which the second stage will flip from near horizontal to vertical, as we saw it doing. The reason for this is that the intention is for the Starship second stage to re-enter from orbit in that nose-up belly first attitude, shedding off orbital velocity until comes down to terminal velocity.
The reason for the two different methods is simple... the first stage only has to re-enter at speeds of around 6,000 kph - that is relatively low, so the engine bells and associated structure do not have to withstand a great amount of heating - the reason for the entry burn is to shed off speed to limit that heating. However, the second stage will be entering the earth's atmosphere at orbital velocity, about 28,000 kph - no entry burn, and the kicker is that convective heating isn't just proportional to velocity, its not even velocity squared, its velocity cubed!! - so double the entry speed from 6,000 to 12,000 kph, and the heating effect is eight times greater than at 6,000, double it again to 24,000 kph and the heating effect is 64 times greater than at 6,000 kph*. Obviously, the thrust structure would not be able to withstand this; any attempt to re-enter tail first at those speed would result in the destruction of the vehicle. SpaceX had to come up with a different way to re-enter and land the second stage.
* This is the simplified version. There is also radiative heating that needs to be considered, and it is proportional to the eighth power of velocity.