There are certain functions that have to be dealt with at the federal level, and they are listed in the Constitution. National defense, interstate commerce, etc., stuff that cannot or should not be done at the state level if we are to have a functioning national gov't at all. And if a specific function is not listed in the Constitution, then it falls to the states to address whatever the issue is, OR the Constitution can be amended (there's a process for that).
The point is that our federal Congress is limited in the legislation they are authorized to create, they cannot write any old law they want to. Every law they pass has to be linked somewhere in the Constitution and it cannot be based on an inference of an inference. And if that basis is not found then the law should be deemed as unconstitutional, and that is precisely what the current Supreme Court did regarding the earlier 1973 Roe v Wade ruling. Every ruling the current Court makes is reversible by a future court. But I do not believe Congress can and has done that in the House, they can write whatever Abortion Rights law they want to for political purposes, but that law will be challenged and struck down if it ever becomes a law in the 1st place. As it stands now, the Senate won't pass it anyway, so the question is moot for now.
"If they pass a federal law allowing abortions in all states I don't see how the Supremes can interfere." The fact of the matter is that there is nothing in our Constitution that permits Congress to create a right to an abortion, which is essentially what this law would be. There are some things that the federal gov't has no business interfering with, and abortion (healthcare) is one of them. It's not within their purview. And that is why the Supremes overturned the original Roe v Wade decision and also why they should strike down whatever abortion law Congress passes and the president signs.