@mezzo11ys Unfortunately I don't think Recognition or Overall plays a role in what team approaches you in secret meetings. Whether this is intentional or a bug I'm not sure yet.
As an example in my current career that I'm trying to do well in with Aston Martin, I ended up overachieving a bit by winning in Australia and the Sprint in China (was struggling to find my ideal difficulty) putting my OVR at 69 and Recognition at 42ish (after 5 races), yet the two teams that approached me were Alpine and VCARB.
To do some testing I started up another career as a Mercedes driver, skip all practices, one shot qualifying 5 lap races etc. just in general not trying very hard, just focused on getting to the secret meeting asap with respectable results. OVR was 66 and REC was 35 (after 3 races) yet McLaren was the team to approach me, so I am concerned there might be a bug or something that the Top 4 are locked in as exclusives to one another.