Is trouble just Parcheesi?

Is trouble just Parcheesi? Parcheesi (on BGG) is from the USA and played with 2 dice as the randomizer. Trouble (on BGG) has a circular rather than cross shaped path and a Pop-O-Matic die container/roller containing a single die. Ludo (on BGG) is from the UK (and elsewhere) and played on a smaller board than Parcheesi with a single die.

Parcheesi (on BGG) is from the USA and played with 2 dice as the randomizer. Trouble (on BGG) has a circular rather than cross shaped path and a Pop-O-Matic die container/roller containing a single die. Ludo (on BGG) is from the UK (and elsewhere) and played on a smaller board than Parcheesi with a single die.