Ye gads! You can tell the lists were written by a Royalist
So, how to get some flavour between the two lists without using the Characters*?
Royalists have Gallopers (-2 pts) and Elite Pike (0 - 1). So far as i can see Parliament simply has access to a 2nd unit of Cuirass, compulsory Lvl 7 Cavalry Commanders and a slightly worse General.
I can see Caracole being houseruled for a start. Only Royalist cavalry ever counter-charged eh? Fair enough, the Caracole rule [and Galloper] creates a difference between the two cavalry types but Caracole in particular looks like a blunt instrument as written.
The Royalists have the option of taking Gallopers or not. Gallopers must counter-charge if charged but are not compelled to charge. Parliamentarian horse may only Caracole when charged and hope they cause a disorder presumably.
*Prince Rupert adding Ferocious Charge looks a no-brainer
We'll play it as written to begin with and then see