I believe it would be just as good made with the beef broth, but you might want to add a little more spice (but not the salt) to it since beef broth generally has a little stronger flavor. I frequently increase the spices just a little when I switch out beef broth for chicken broth.
For example if I would normally use a teaspoon of a spice blend, I would probably increase it by 1/4 teaspoon if I use beef broth, so the flavors of my spices aren’t overpowered by the stronger flavor of the beef broth.
I usually get my Original blend Mrs Dash at a restaurant supplier.
I just checked Amazon
I think the above is more than I pay from the restaurant supplier, but it may be cheaper than what you are paying.
I don’t know why, but when buying the larger container there seems to be a bit more black pepper taste so of a recipe calls for black pepper and I use the Mrs Dash, then sometimes I don’t add the additional black pepper.