The President can legally suspend the writ if it is a matter or national security. Did the framers foresee mass illegal immigration at the time? Would they have considered that a matter of national security? Would they have extended the right of habeas corpus to people entering the country illegally, had they known the way immigration would have changed over the years? You seem to want to make interpretations that only fit your narrative. If habeas corpus applies, even though we likely know that wasn’t the intent for illegals(wasn’t even a thing), so does the President’s ability to suspend it. The issue with suspending it is that it would affect everyone’s rights, not just illegals. That is the main problem I have with a suspension.
To fix it all, what needs to happen is an Ammendment that uses common sense that does not afford a person bypassing our legal entry process the same rights as someone who did. The problem is, Democrats don’t have any common sense. They want to protect illegals. They like it. You like it. I can assure you that Democrats would not vote or such an Ammendment. Think what you will, but I can assure you that our framers didn’t foresee what is going on with our immigration system and illegal crossings and would have been much more restrictive had they done so. You know it, just won’t admit it.