Average position from Search Console misleads more often than it helps in reports. It's impression-weighted, so if you start ranking for a bunch of new long-tail queries at position 30, the average can drop even while clicks and conversions go up. And a page moving from 12 to 8 on a query with 10,000 impressions can matter more than a jump from 40 to 5 on a query nobody searches.
GA4 has its own problems. Organic conversions depend on the channel grouping, last-click or data-driven attribution, and how much traffic lands as direct because of missing UTMs or dark social. So the two sources can disagree for perfectly legitimate reasons.
What works for me as a default is putting clicks and conversions by landing page in the headline and using position only as a diagnostic for specific queries. The part I'm less sure about is when GA4 shows organic conversions falling while Search Console clicks look flat. How do you decide which source to believe when they split, and how big a gap would make you check tracking before blaming the content?