Thoughts on Active/Passive Speakers? Looking for pros and cons.

Concerning the OP  Paradigm Founder Series 120H, they are basically 3-way with built-in sub, so I wouldn't say these speakers are active in the traditional sense.

Active has a lot of limitations.  And not only that the complexity is not worth it.  For low end to mid fi, may make some sense.  But high end will always be passive.

^^^ If done right active can sound good but the complexity is probably not worth it.  You will need external amp and dedicated ADC per channel which won't come cheap.  Most people won't put up with all that external equipment.  Cheap miniDSP stuffs are not going to cut it.

On paper active may have an advantage but real world constrains make it not practical.

If you're just contend with built-in class D amp and cheap digital to analog conversion then well I suppose active is a good alternative.

Eliminating resistances of the inductors and phase shift and delay of the caps.

Nope, you can't eliminate phase shift even with active.