2 violins, 2 violas, 2 violoncellos, 1 double bass
This is misleading: the 2 physical violins are playing two different parts, violin 1 and 2, so that the string distribution on the recording is really 1 violin 1, 1 violin 2, 2 violas, etc.
I cannot accept this distribution as historically credible since numerous records exist to show that orchestras in this period were violin-heavy. Here are some examples from page 70 of Joan Peyser (ed.)'s "The Orchestra":
Dresden - 8.7.4.4.3
Mannheim - 10-11.10-11.4.4.4
Milan - 14.14.6.2.6
Paris - 13.11.4.10.4
Today's larger orchestras of course follow this general pattern, a typical distribution being something like 16.16.10.10.8. One thing is certain: the 4th concerto requires at least 2 cellos, as there are places that specifically call for a single cello. If there were 24 places for musicians at the Palace, I would believe a string distribution of 3.3.2.2.1, or at least 2.2.2.2.1 if room were needed for the piano. But 1.1.2.2.1? Absolutely no way.