When looking at a formula sheet, one can see that there's been some effort to distinguish between different things being represented by using pretty much all of the letters from the latin and greek alphabets. But there's also a lot of doubling up. Why didn't physicists keep going to Hebrew letters?
Given context, using the same symbol for different quantities is harmless.
A proliferation of alphabets is harmful - it makes typsetting harder, can make correctly identifying symbols, especially when handwritten, difficult, and can make reading aloud difficult. Also, if one was to avoid doubling up, one would very quickly run out of Hebrew letters, too. What then? Egyptian hieroglyphs? Chinese characters?
The use of different alphabets is potentially useful for more than avoiding doubling up, and IMO more useful for these other purposes. Different alphabets can be used for different categories of quantities, such as vector quantities, vector components, scalar quantities, tensor quantities, etc. It is more common to use different typeface styles, such as italic, upper case italic, bold, bold upper case, blackboard bold upper case, etc. However, sometimes different alphabets are used, such as italic and Greek letters for indices in relativity to distinguish between indices that run over 4D spacetime (Greek) and indices over 3D space (italic).
One example of this is Maxwell's presentation of his general theory of the electromagnetic field in his Treatise. He uses German letters for his vector quantities (with the exception of rho for a position vector), and other typefaces for vector components. For the vector components, he uses upper case, lower case, and Greek lower case - something is needed, since his 11 vector quantities require 33 distinguishable symbols for their components.
His scheme for assigning symbols to his electromagnetic field quantities is simple: he uses rho for the position vector, since r or rho is conventional, and assigns the letters A through H, skips to J, and then finally K (all in German letters). He starts with A for the vector potential, since it's the most important quantity for Maxwell, physically (it's the momentum density of the electromagnetic aether), and, it appears, pays some attention to mnemonic value, with D for electric displacement, E for electromotive force (in modern terminology, the electric field), F for force density. This is close to our modern scheme, although we have dropped the use of German letters; we have dropped C and G (the velocity relative to the aether), and Maxwell's J, shifting Maxwell's K to J.
Note that just considering electromagnetic quantities alone, the modern version of Maxwell's theory uses A, B, D, E, H, J, Phi, rho, epsilon, and mu (and sometimes more). Just to continue with Maxwell alone, Maxwell's thermodynamic relations use F, G, H, P, S, T, U, V. One runs out of letters very quickly without doubling up, even if one resorts to Hebrew.
But, as already said, doubling up is harmless, given context. Maxwell's electromagnetic equations and Maxwell's thermodynamic relations already double up on the use of H (and F, for force, a non-electromagnetic quantity in the electromagnetic equations), but this will cause no confusion, other than for students who pull formulae from formula sheets, without understanding, just because H or F occurs in the formula.
Maxwell's glorious choice of symbols is compactly summarised in his Treatise, in Art. 618: https://en.wikisource.org/wiki/A_Treatise_on_Electricity_and_Magnetism/Part_IV/Chapter_IX