I do not think the TVO should be brought in other than at the request of the ref (NOT by team players or managers), and only if the ref has doubts about whether to award a goal, penalty, or perhaps a sending off.
Otherwise soccer is a game played by humans, for humans, with all the mistakes and errors of judgement that entails on all sides - which, unless there is systematic bias, will generally even themselves out more or less over the course of a 90 min. match.
The problem with soccer is that goals, penalties and sending offs are relatively rare and can profoundly influence the course of a match without sufficient chance for the normal random process of mistakes favouring both sides having time to equalise matters. notes from no w here
Football ruling body is a conservative group of (elderly) people who prefer to keep the game unchanged. One of the biggest changes was to allow two and later three substitutions (1965). My personal experience as referee in field hockey, the sport has evolved with many changes of the rules to account for new artificial pitches and the speed of the game. The off-side rule was banished which provided for ease of umpiring and a great increase in goals scored. For substitutions, hockey has the interchange rule which results in full match action. The game has always been covered by two referees, responsible for one half field and an imaginery diagonal to support each other in difficult situations in the penalty area. The most recent change adopted, after a year of experiments, is the self-pass. You can dribble with the ball as soon as a foul was called. This has further increased the speed of the game and decreased the possibility for players to start a discussion with the referee, because play has already resumed.
For football rule changes I would go for two referees, two linesmen, two goal guards and a video team. Banish the off-side rule, perhaps with the exception one cannot score a goal in off-side position. For a yellow card, send the player to a penalty box for 10 minutes. A free kick should be taken almost instantly and banish the formation of a wall of players which delays play for many minutes. Be tough on verbal abuse/harsh criticism towards referees during the match and afterwards in press comments by players and coaching staff. The FA should take responsibility when a referee makes too many bad calls.
The Association of Football Statisticians (AFS)
"But I will not let myself be reduced to silence."