That seems a fairly poor justification to me. Protest by staying away, by arranging protests outside the ground etc, all you want. Your club has been chucked in the shitter repeatedly, I support and agree with your protests on principle.
Don't do it by trying to fuck over another team that has fuck all to do with your gripes against your owners etc.
As an aside to all that shite, I loved Highfield Road. Went a couple of times and thought it was a lovely, properly old-fashioned ground. You should never have left.
The arguement CCFC fans would have there is that we literally did all those. We boycotted at Sixfields, we protested everywhere. All the usual stuff you see from other clubs. None of it worked.
Your final point is spot on, moving was a disaster.