^ & ^^ Hmm interesting. I hadn't considered the way the force works when squared against Palpatine's end game, before.

If they Jedi inherit their powers through the bloodline, then wiping them out would be key as they could never return.

If anybody can be a Jedi providing they are taught/learn about the force then this is also a good reason to wipe them out. But you'd also need to erase them from existence and from all knowledge.

The fact that Han barely remembers the Jedi in ANH, suggests that Palpatine commited a cultural, as well as a literal genocide of the Jedi, leaning towards the second interpretation. But then Palpatine is affraid of Luke's inherited powers in ESB and ROTJ, suggesting the first.

I'd go with both. Anybody can be taught the force but some are more naturally gifted with it.