I agree with everything you have said, but it is worth pointing out that the best online players are assisted by bots. The top players use software that can immediately show your last 10 bets and the outcomes as soon as you raise.
My point is that if you play low stakes, you get crushed by patient bots. If you play high stakes, you get crushed by cyborgs.
Im not positive that the current HUDs do that , and even if they did, i dont think its a huge advantage. Players use statistical tools which could be seen as unfair , except they are so common now that a significant percent of players from the lowest stakes to the highest use these tools. Just having this data is not enough to make soemebody a winning player as it does not suggest a specific move, the player still needs to figure that out. High stakes players are just much, much better than lower stakes players, with or without the HUD.
Those tools present their own problems but they aren't bots. Bots are making decisions and acting on them, not simply providing additional information for players to incorporate into their decisions.
My point is that if you play low stakes, you get crushed by patient bots. If you play high stakes, you get crushed by cyborgs.