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Unless you are going to shell out thousands on loads of mep hours, it really won't make that much difference. Having complex time is the same; it is what you do with the hours that counts.
What you say makes a great deal of sense in principle PAPI-74. However in reality I believe that you are wrong. On almost any kind of application for aviation employment the employer will want to know how much multi time you have. Mulit time is one of the headline numbers that goes alongside total time on your CV. I have never seen or heard of anyone requesting a specific amount of complex time. It may be the most tricked out, fastest glass cockpit Cirrus going but at the end of the day it's still a single. I reckon that most employers would take more notice if you'd been flying the same hours in a knackered Apache.
Also regarding the above concerns about US training, I can understand this. However, the flight instruction job I have has allowed me to build up 500hrs MEP, 230hrs IFR and I have flown into some of the worlds biggest airports on 300nm long XC's many times. I am a foreigner and do not hold a green card. Only in the USA would I be able to get this kind of experience. Back at home I'd be warbling round the pattern in a C152, at best. I'm not stupid enough to believe that I will walk into a job back home, but my CV will get noticed.