I don’t expect Hufffy will disappear due to the other hog being around. He might just adjust his timing a bit, but maybe not even that.
I think it’s unlikely that a whole streak would be a natural marking. (Although, of course, it does depend a bit on what you mean by a streak!). They do occasionally have small areas of pale spines, but usually no more than half a dozen and usually less – not as much as I would think of as a streak. Huffy may have split loyalties and be visiting elsewhere as well!
You would be better off, now that you know which one he is, having a really good look at his other markings,especially his face, and make a note of them. (If you are writing a description or doing a drawing, it makes you look more carefully.) That way you are more likely to recognise him next year after hibernation, when any artificial marking may have worn off.
The hogs won’t be thinking of the hog house as a home. To them it’s just a place to have a nap or spend a few days. It just happens to be a place which you have provided. I wouldn’t worry too much about it. Wait and see what happens next. But that is the advantage of having a wildlife friendly garden, so that there are other potential places for Huffy to go. He will know his local area pretty well and will know where there are suitable places to sleep.
But, just because he doesn’t spend the day in your garden, doesn’t mean Huffy won’t be back for food. Most of the hogs which have visited here over the years have not been living here, or even, other than occasionally, spent the day here. They can travel up to 2 miles a night – so quite a few gardens worth.