Because in this case they seem to be given a second chance to improve themselves in the current premier league, it's no wonder they are so happy when they escape the relegation zone because the first caste is certainly more prestigious than the second caste.
In this case it might be a bit difficult especially in this last match City will also face a club that can be said to be a less good club now but as you said hopefully there will be a miracle even though this tends to be impossible
At the end of the season like this, clubs becomes the more fierce than we usually see, especially for teams at the top and the closely relegated once. You can tell that, the game becomes more interesting, especially when there isn't much points difference between teams.
You can imagine the sort of game Southampton did put up with Liverpool just before, with Redmond scoring an unbelievable goal before the replies came and Matip gave them the advantage they needed to collect all 3 points in that game.
Everton's come back wasn't much of a shock but them actually getting to win the game was some good team effort on there part. A hard win indeed and just like that, they've got the chance they need to remain in the premier league.
And if you look at the players Klopp played in at Soton last week most of them were substitutes but even then they are very good at playing and still strong enough for a lower team.
I feel that in the match against Everton the result will be the same regardless of whatever strategy Lampard will use