I fall in the Let the Company Pay For It category. Reasons: An SIC rating is worth almost nothing for you, and most employers will pay for it (although you might have to sign a training contract).

That SIC type will get you nowhere with another company, since they will have to train you anyway on their procedures. Yes, you'll have completed the knowledge requirements for systems (for 12 months), but what if you lose this job and can't get another one in that time frame? You'll have to do recurrent training and it will be the same stuff.

Now if they require a training contract or are reimbursing you (which I didn't gather from your post) you could consider it. But paying for SIC training in a Lear is a bad move IMO since you will be a required crewmember and the SIC type rating is worthless unless you're doing international ops. Even then, it's only worthwhile because it's required by ICAO.