Almost every complaint that starts “the back is wrong” is this, and it is settled before printing or not at all.
What single-reverse actually is
One print, one layer. The ink shows through the fabric, so the reverse is the same image mirrored. Text reads backwards.
It is the standard construction and it is completely fine when only one side is ever seen — a flag against a wall, a one-way street, a stage backdrop.
What double-sided actually is
Three layers: a printed face, an opaque blockout liner, and a second printed face. Both sides read correctly and neither shows through the other.
The liner is the part that matters. Two faces sewn back to back without one produce a muddle on both sides, and some sellers describe that as double-sided.
How to tell what you are being sold
Ask whether there is a blockout liner. If the answer is vague, it is single-reverse.
The other tell is weight: a double-sided flag is noticeably heavier and needs more wind to fly properly. If a listing promises double-sided at single-reverse weight, one of those two claims is untrue.
When the extra cost is obviously worth it
Two-way roads, roundabouts, anywhere with foot traffic on both sides, and anything that will be photographed from an angle you do not control.
It is not worth it against a building, on a one-way approach, or where the flag is decorative rather than doing the reading work.