What topics the consultancies are currently featuring on their main webpages and social media, and what whitepapers are they publishing?

you need to highlight impact and measurability,

tell them what you achieved in each role, and how you presented to and convinced C-Level or Board-level to get buy-in.

That’s what consultants do

Inevitably you may have to accept a job title or remuneration package which is slightly below your current trajectory, but this will be for a short period while you prove yourself.