Hi, nice topic.
What should influence your decision in whether to sacrifice your blue line in exchange for a better red line? The value of red and blue lines is exactly equivalent. $1 in the red line is worth exactly $1 in the blue line.
Actually red and blue lines are in reality not equivalent because of the rake. When you bet and get called and win, you will pay more rake comparing to when you check. This means that if without rake, EV of bet will be the same as EV of check, then we should choose to check (blue line) because of the rake.
Imo, blue and red line should be indicator about player's style. If red is high, he is most likely agro player bluffing a lot. If it is low, he is not bluffing too much and calling tight. But doesn't mean that having positive red line is good or bad. E.g. when I play NL100 in zoom, players are overall very nitty and I play very aggressive bluffing a lot, so my winnings come from red line. If I play on party poker, people are very agro and don't like folding in general so I was making winnings from blue line and red line was negative.