Earlier quoted context omitted.
Not sure precisely what point you're making, but it's possible that you're saying that the intention to apply for asylum provides you with legal rights to enter the US. That's not what the law says. If you're not saying that, then what you wrote is not responsive to the person you replied to.
> the intention to apply for asylum provides you with legal rights to enter the US Sort of, yeah. Check out Akinmade v NIS as an example: https://openjurist.org/196/f3d/951 . Akinmade entered the US with a fake Canadian passport to request asylum. He was granted asylum
> The Immigration and Naturalization Service (INS) placed him in detention and commenced exclusion proceedings.
Yes, people can apply for asylum after entering the country unlawfully. No, that doesn't mean you get free reign of the country while your case is decided. Nor does your illegal entry bar you from applying or receiving.
It's notable though that the vast majority of asylum seekers illegally entering the US via the southern border are not refugees and do not qualify for asylum. This is easily seen by the fact that they are crossing from their home country into Mexico and not applying for asylum even though Mexico is largely a safe place to live compared to, for example, Honduras.