I think the "right" side have a higher status simply because the most people are right-handed.
We read some passages where lefties have an advantage in surprising the enemy, as in Ehud's history
15 But when the children of Israel cried unto the Lord, the Lord
raised them up a deliverer, Ehud the son of Gera, a Benjamite, a man
lefthanded: and by him the children of Israel sent a present unto
Eglon the king of Moab.
16 But Ehud made him a dagger which had two edges, of a cubit length;
and he did gird it under his raiment upon his right thigh.
17 And he brought the present unto Eglon king of Moab: and Eglon was a
very fat man.
18 And when he had made an end to offer the present, he sent away the
people that bare the present.
19 But he himself turned again from the quarries that were by Gilgal,
and said, I have a secret errand unto thee, O king: who said, Keep
silence. And all that stood by him went out from him.
20 And Ehud came unto him; and he was sitting in a summer parlour,
which he had for himself alone. And Ehud said, I have a message from
God unto thee. And he arose out of his seat.
21 And Ehud put forth his left hand, and took the dagger from his
right thigh, and thrust it into his belly
Judges 3:15-21
also in the case of Benjamin's Tribe
"Among all this people there were seven hundred chosen men lefthanded;
every one could sling stones at an hair breadth, and not miss." Judges
20:16
Perhaps you are wondering about the tortures of the Middle Ages:
One of the most accepted theories to justify the preference for the right side of things says that came with the primitive inhabitants of the northern hemisphere. For the sun worshipers the northern hemisphere, the sun appears to move clockwise to the right. Following in this vein, Buddhists make their treks to meditate; pilgrims who go to Mecca to pray Allah surround the estluertici right the Kaaba, where the construction is the sacred stone of Mohammed's followers. Muslims, in fact, go so far as to state that God has two right hands.
Also in the Middle Ages left hand happens to be related to the dirt. The explanation for this until we have some logic: a period when washing up was a rare habit, cleanliness was due to the left hand, including personal hygiene . Afraid to get dirty, people just shook hands with the right hand, the same used for eating or combing hair .
At the time of giving his word , the Greek was the one who was in favor of the left: "aristera", the Greek term for the left hand , has the meaning of "best" and the same origin of the word aristocracy. Latin, at first, agreed with this positive image : sinister , whatever "left" say , meant "Lucky" , the word comes from "sinus", the pocket of the Roman toga which was, of course, that side .
But this was the era in which the statues of the Roman gods had to face south and look directed to the left , to the east , where they came from , with the sun , the signs of good fortune . Do not know why, but images of deities, approximately the second century, were directed to the north. Hence the east was right. From "Lucky" the word "sinister" came to be "unlucky" and the Romans began to sew your pockets on the right side.