Aaq, the chofetz chaim was writing about sins of the frum people – why would he mention the secular zionists? He didn’t hold that merely living in eretz yisroel was a sin, nor does anyone else, even the satmar rov. Zionists like to peddle these tales of the ultra orthodox saying we shouldn’t live in EY, but that’s made up nonsense. The charedi yishuv was not guilty of any shvuos related issurim, hence the chofetz chaim makes no mention of it.
The secular studies thing is stretching it. Quit while you’re ahead.