If the only issue was with feeding and housing the soldier you would be right but the secondary issue is surveilance. Imagine what could have happened (or NOT happened) if the British army had quartered a few soldiers in the homes of Adams, Jefferson and Franklin. Fortunately for us now, those guys were all on the run from the British and a bit hard to find. There were lesser leaders though and some of them had a redcoat or two living with them.
The fourth amendment does cover search and seizure but only those acts that are overt. Covert “searches” were still carried on by those soldiers who reported to their officers each day.
Dude, you are reading things into the amendment that was never intended. The abuses you are talking about are covered in the 4th amendment. I’m glad you are not a Supreme Court Justice (At least I hope you’re not) because you would be reading things into the law instead of what it plainly says.
The 3rd amendment is what it says it is. The government is not allowed to quarter soldiers in people’s homes during peacetime. Yet, you read in a distinction in the 4th amendment concerning overt and covert searches (only overt searches are covered in the 4th amendment according to you). That distinction is not there.