My short answer -- no.

For one thing, we have to define the metric by which we're measuring "ideal". I tend to think in terms of control rooms for recording studios, so my natural instinct is to worry about bass response in what are naturally small rooms. Others might be more concerned about large concert halls, speech auditoriums, etc.

Assuming you are in fact talking about small room acoustics, which is where the "room ratio" discussion usually pops up, then I have to ask if you are in fact most worried about bass response? It's the first bugaboo to worry about, in my mind, but how do we predict it, and then how do we make design tradeoffs? Many criteria have been proposed, including those by

Bolt: 2 < x+y < 4 and 1.5(x-1) < y-1 < 3(x-1)

EBU: x < 3z and y < 3z and 1.1(x/z) < y/z < 4.5(x/z) - 4

IEC: x/z < y/z < min(4, (5x/z - 4))

NOTE: z = normalized ceiling height = 1

Lots of overlap, but differences exist for sure. You can usually find room ratios that satisfy all criteria.

Trevor Cox has done some work predicting bass resonance for rooms of different sizes, and the "best" ratios vary with room volume. That throws a spanner into the works, doesn't it?