Yes, effectively the win of the toss alternates so the captains have alternating choice. But even then, if the toss has gone in a way that the home captain has choice in T4, then you order a raging green top safe in the knowledge you won’t be batting first, and then ask for a road in T5 so that it’s inevitably a draw, etc.
Hence you need the neutral groundsman to ensure good, fair, pitches are prepared.
The runs handicap feels a bit contrived
Not as contrived as the tournament in the example where chasing sides won 12/13. The tournament effectively became a toss the coin competition.
The handicap is only for single game T20’s (poss 50 over) and it’s essentially a ‘negotiated’ not a fixed handicap. The toss winner gets to choose what to do. But before they do, the losing tosser proposes a handicap for the less favoured option (in the example, the dew speeds up the pitch making it easier to bat on in the second innings). And then back to the winning tosser to decide.
So in example above, the losing tosser might suggest that the effect of the dew is worth 20 runs. So they propose a 20 run handicap. So the choice in front of the winning tosser is now between batting first and setting a target, or batting second and chasing the target plus 20.
It’s very clever because you can’t substantially over or under propose, otherwise the winning tosser will call your bluff. Same example above, if the proposer suggested say target plus 50 – then the winning tosser would just bat first and make you chase it