How strict on touching the net?

[chartrusepengui]

NCAA POE

9. Net Faults: The net fault rule has been modified in recent years to provide some leniency regarding net contact. Contacting the net while
playing the ball is still a fault. Attackers or blockers are considered to
be playing the ball from the time they initiate their jumping action until
they return to the floor. Moving sideways into position to block or
turning away after completing the blocking or attacking motion is not
considered playing the ball.
If a player who is not playing the ball contacts the net, referees must
judge whether or not the contact interfered with play. If no interference
occurred, the contact is not a fault. To determine interference, referees
use criteria such as whether the contact was distracting to the next
player(s) involved in the play or whether the contact affected the integrity
of the net so significantly that it impacted the result of the play.

It would depend on the actual action - judgement call.