Exchanging knight for bishop in the opening
A knight is worth 3.05 pawns, a bishop is worth 3.33 pawns.
See table 6 https://arxiv.org/pdf/2009.04374.pdf
A tempo is worth 0.33 pawns, as we know from gambits.
So if you spend 1 tempo Nf3-h4 to capture a bishop Nh4xg6, then you generally make about an even trade: you gain the bishop's pair, but you lose a tempo.

A knight is worth 3.05 pawns, a bishop is worth 3.33 pawns.
See table 6 https://arxiv.org/pdf/2009.04374.pdf
A tempo is worth 0.33 pawns, as we know from gambits.
So if you spend 1 tempo Nf3-h4 to capture a bishop Nh4xg6, then you generally make about an even trade: you gain the bishop's pair, but you lose a tempo.
Typically, though, it will cost you two tempi insted of one.
The Bishop moves once (Bc8-f5) and then gets axed.
The Knight moves three times (Ng1-f3-h4xf5) and then gets taken.
So you'll often end up trading (a Knight and three moves) for (a Bishop and one move).
#3
No: black has to recapture exf5 or hxg6 and that also costs a tempo.
Also useful to note: the value of a tempo decreases as the games goes on. In the early opening it is usually bad to chase a bishop with Na4/Nh4, but later in the game when all pieces are into play it is often worthwhile, why at that point the other side often spends a tempo to prevent it by making an escape hole for his bishop with ...a6 or ...h6.
Here is an example where black chases 2 Bc4 with 4...Ne5, but later has to regret the lost tempo
https://www.chessgames.com/perl/chessgame?gid=1001427
Here is an example where white chases 5...Bg6 with 7 Nf4. Note that loss of a tempo is worse for black than for white as white has a tempo more to start with.
https://www.chessgames.com/perl/chessgame?gid=1172189

#3
No: black has to recapture exf5 or hxg6 and that also costs a tempo.
Too dogmatic. The move hxg6 is only a loss of tempo if it doesn't improve Black's position.
If it activates the h8-Rook or increases Black's control of an important square then no tempo is lost by the move..
Here is another example where white chases the bishop
https://www.chessgames.com/perl/chessgame?gid=1918857
And here is a game where black prevents the exchange with 5...a6
https://www.chessgames.com/perl/chessgame?gid=1943566