The thing is, you don't need him to look at the monitor. If they don't want to have that slowing things down, it's OK.
You just do what Rugby does and accepts that a referee might make mistakes or not see things, so the qualified guy in the TV room can make a decision he misses.
The problem is they combine no monitors with this insane "clear and obvious error" bullshit where they try to come up with reasons why a VAR shouldn't overrule a referee even though everyone can see the referee just missed something.