Folding on the flop in either of these hands would be absolutely crazy, and you are never going to win tournaments that way. The second hand illustrate why. People raise or donk bet top pair with a worse kicker, second pair, third pair, draws. Sometimes they have the nuts, but far from always. With an SPR of 3-4 as in these hands, top pair good kicker is 100% an automatic stack-off, unless the board puts out a 1-liner to a straight or flush or something.
Preflop is where, you can find some improvements. In hand 1 you need to isolate to at least 4BB. This also create an even lower SPR, and if he still call OOP with K9o and hit this perfect flop, then more power to him! But maybe he would actually have folded, which is a great outcome. In the second hand KTo from MP is probably a slightly losing open. Its close, but folding would certainly not be a mistake.
Conclusion
Work on your preflop strategy and dont worry about postflop coolers (hand 1) or suck-outs (hand 2).
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