A couple of rounds isn’t too bad for bluffing, you can start to get set up by then with replacements for any dudes you lose while you wait for more copies of PTPT/Gambler’s Gun or some other gimmickry. 
I remember seeing a similar comment about looking through discard piles being something they don’t bother with from a UK player, but I’ll confess it is something I tend to do in tournament play (depending on how seriously I’m taking things). For example, my final Swiss match was against @NuFenix in the EU Marshal, where I was the only person all day to review his discard pile and realise he had no cheatin’ punishment. He was playing a hit and run deck but thankfully for me the “Run” part of the equation largely went missing, here’s what he had to say about it on dtdb:
“Having you be the only person to realise I wasn’t running any cheating resolutions allowed you to go for aggressive hands that I couldn’t compete with meant when we did get to looking at hands I was in trouble. Sadly the point of my deck where I kill you and then get out before drawing a hand never happened”.
I don’t mind people running through my discard and I’m often counting cards myself so I often volunteer what cheatin’ punishment has gone past. Helps keep the game fast.