I pulled this from The Bike website

"There is no limit on raises when only two players are left in a betting round and the action is not yet "capped"."

What I have seen, not at The Bike in particular, is the action seems to go No-Limit.

The question: Does heads up with this rule turn the action to No-Limit on a single bet or raise or unlimited bet/raise at the limit? I would read this as no limit on the amount of raises rather than unlimited amount of a raise.

You would be correct.

Sometimes some places will let the shove/call stand as action offered action accepted.

No it does not in most rulesets. When the bet that would generally make it a cap goes in, if it is already heads up, then there is no cap and you can keep shoveling in bets, but only in the fixed amount.

In many cases, at some point, one player will finally give up knowing that both players have the same nut hand, and will just call.

But if that doesn't happen, as a matter of expediency, once it gets to a certain point where it is clear that both players are going to continue raising until one of them is all in, one might offer to just jump right to all in. In most rooms this isn't a legal bet, but if the other player accepts, then many floors will consider it action offered and accepted between heads up players. Not that it matters, unless someone misread their hand it is a chop at least 85% of the time IME.

Rules vary by room. Technically players are supposed to keep limit raising back and forth until one is all in, but often they will be allowed to just agree to put it all in or pick an amount. This only happens if both players agree. If you say you want to go all in I can just say no and call a single bet to end action.

Honestly I think it is very bad to stop raising with the nuts in limit. I have seen people do that thinking they were chopping only to beat the other person.

But that’s just a strategy thing. Your interpretation of the rules is correct to my understanding.

Thanks for the answers. This is the way I read it.

The spot that most reminds me of this rule was more of an angle shot. It was at The Riverside in Laughlin several years (or more) back, either a 3/6 or 1/6 spread, I forget. But this one guy when heads up would just grab a pile of chips and splash it all over. Chips would be rolling all over the table and nobody complained. I was not at the table but watching him and the rules there were the same as The Bike at the time I was there.

I have not seen this happen in the Los Angeles area poker clubs. What I saw in Nevada though was just a way for a local to pound on a tourist.

Or a BBJP