[pilun]

Our 1♥ opening = 4+♥, not 4♠s, 11-15 pts. 1♠ is then an 11+ shape-ask

1♥ - 1♠

1NT : 4+♦, unbalanced
2♣ : balanced
2♦ : ♥ >= ♣
2♥ : ♣ > ♥
2♠+ : 6+♥

That works fine, won't change that. Now consider

1♥ - (no) - 1♠ - (2♣)

Relay is intact after the overcall and Square, so

pass : 4+♦, unbalanced
X : balanced
2♦ : ♥ >= ♣
2♥ : ♣ > ♥
2♠+ : 6+♥

Easy enough but a bit silly. Fancy bidding 2♥ with 5+ in the overcalled suit!
Apart from that, you will miss most penalties.
Better is to swap the minors in this particular auction.
We normally show suits and shortages top down, (♠>♥>♦>♣) which works fine in most auctions.
A swap here would produce

pass : 4+♣, unbalanced
X : balanced
2♦ : ♥ >= ♦
2♥ : ♦ > ♥
2♠+ : 6+♥

which is clearly superior.
Responder can relay with double over the club-showing pass, aware that opener might pass.
If not prepared for that, asker would jump or cue instead.

The same would apply after our 1♦ opening, which shows spades

1♦ - (no) - 1♠ - (2♣)

Only the 2♣ overcall requires the swap. No swapping needed after a strong club, or other openings.
So it would be very rare and a genuine memory strain.

Is it worth it?

[nullve]

pilun, on 2022-June-21, 17:36, said:

Now consider

1♥ - (no) - 1♠ - (2♣)

Relay is intact after the overcall and Square, so

pass : 4+♦, unbalanced
X : balanced
2♦ : ♥ >= ♣
2♥ : ♣ > ♥
2♠+ : 6+♥

Easy enough but a bit silly. Fancy bidding 2♥ with 5+ in the overcalled suit!
Apart from that, you will miss most penalties.
Better is to swap the minors in this particular auction.

You could also try

pass : 4+♦, unbalanced OR C > H
...X = relay
......P = C > H
X : balanced
2♦ : ♥ >= ♣
2♥ : ♣ > ♥ not used!
2♠+ : 6+♥

.