We have as well Globals(with their tinly little cargo hold, lol)and as well they are CATI only. Not so premium anymore when it comes to bad weather OPS.
I don't know any Global which is not built to CAT II standards.
Extract from AFM:
1. INTRODUCTION
The GLOBAL EXPRESS® model BD 700−1A10 airplane has been shown to meet the airworthiness requirements for Category 2 Operations contained in Appendix 1 of AC 120−29 and Subpart 2 of JAR−AWO.
Compliance with these performance standards does not constitute approval to conduct Category 2 operations.
Meaning that your operation resp. your pilots are not CAT II approved/rated and therefore, to use your words, are not so premium