Doubling or tripling the heavies on the 7th (or 2nd) rank

We are taught to double or treble the heavy pieces (rooks and queen) on an open file and in general, it will more or less give us a very big space advantage asit will likely accord the 'stacker' other tactical or strategic advantages. If one does the same horizontally on the opponent's 7th or 2nd rank, the advantage is likely to be more decisive. We are often encouraged to set this up, even at the expense of a pawn or two, and rightfully so. This is my favourite example of such a horizontal stack of heavy pieces on my opponent's back rank bar one.

However, there are situations where the doubling on the opponent's 2nd rank doesn't work and that's when a key square where the rooks aim to attack near the opponent's king is defended. In the following game, I get the time to finish off my own attack because of such a situation where the doubled horizontal rooks cannot create any threats in time.

This game played just now brought me memories of a game where I brazenly and arrogantly allowed the trebling of heavies on my 2nd rank, trusting that my attack is fast enough to finish the job before the 2nd rank heavies can do any damage.  I very nearly got into trouble (interestingly when the game was played, the engines couldn't find the way for Black to fight back accurately) to say the least,

In Sofia Polgar: Amazing Artist - Dangerous Tactician, she wrote about such heavy pieces on the 7th rank - "when one rook enters the seventh rank, it can attack sideways and if the rooks doubled on the seventh, it is double if not triple the trouble for the opponent". Nicely put!