AR = use your meat initiative
VR Cold = Trix Initiative, 2IP
VR Hot = Trix Initiative, 3IP
So no, purely based on INITIATIVE there is no point in jumping in.
BUT Jumpin-In gives you a world of bonuses!
You get bonus dices.
You get lowered threshold.
...
One question though:
DireRadiant said that you use
Drone Response + Rigger Skill.
I always read it as
Your Commlink Response + Rigger Skill.
In VR you do everything through your Persona, and that runs on YOUR comm response...the Drone doesn't have to compute anything, it just has to respond to YOUR input.
Am I mistaken?
If yes, can anyone point out any specific text?
Otherwhise, THAT is another distinct advantage of Jumping In...
Also, as far as my knowledge goes there is a big error: the roll to COMMAND is Response + Command, while the roll to jump-drive is Response + RigSkill.
So another BIG difference is that a Command program is limited (you can buy it at Rating 6, but unless you have Response 6 it won't matter...and you CAN'T have R6 at char-gen) while your skill CAN start at rating 6, and with Specialization it can even start at 8!
So...
Pilots are good and issuing Commands is great but only Jumping you get a real edge.
Then you may consider pros and cons, risks and payoffs...and choose your preferred rigging method

[EDIT]
Nope...my bad...to Command a Drone you use Command + Skill, DireRadiant was right

I have still my doubts on the Drone Response vs Commlink Response issue, though.