Finners, I know you're not an expert in marketing so I thought I'd help you out. I'm not an expert in marketing, but I am fairly proficient at spurious analysis, and I usually charge heavily for such stuff, but it's slow as we approach the new year so consider this a freebie.
Taking the
DML16 list of clubs with the highest revenue* (i.e., turnover), a simple analysis will show several trends, but none of which support the idea that a missing bird from Everton's branding is the missing "edge" we need the club to grasp to push the brand forward.
*Branding is about attention--whether page-clicks, TV sets, or stadium seats filled--but whether thumbs or eyeballs or pairs of buttocks (single buttocked-people also count, but do not get a seat discount as I am aware), in the end it all ends up as revenue (turnover), and revenue is a good proxy for all discussions of branding.
A brief survey of the DML16 top-twenty does not quickly support the idea that using a bird in branding efforts will advance Everton up the list from its respectable position of 18. These clubs from Europe's top-five leagues (and Newcastle) sport an interesting array of prominent branding, but only 2 clubs actively promote their brand through the use of a bird. Two clubs use towers, as Everton currently features. Two clubs feature hammers. We also have a crown, ship, devil, lion, cannon, zebra, wolf, and seahorses (again, not in a top league). Several clubs simply feature their name, through initials, several feature their club colors prominently in marketing, (Juve, Dortmund, and a very successful English Championship side). The most common feature in club branding appear to be regional colors (five clubs feature such).
I'm no expert on the City of Liverpool or County of Merseyside, but a brief search suggests that Merseyside's colors, if official, might already be Blue and White. The City of Liverpool does not appear to feature any specific colors. Again, I could not be arsed to look past the first 2 or 3 google hits, so this information may be incomplete. (And I'm not charging for this analysis.) Both regions do feature sea creatures/mer-men, so it might be important to feature this in future branding of Everton Football Club if regional history/colors are important in club revenue generation. It is not yet clear that this link between regional history/colors and club revenue is anything beyond tenuous, but it at least is as robust as the link between birds and revenue generation.
It is important to note that taken in greater context, regional history incorporated in branding is quite prominent, as most clubs feature prominent regional motifs: Atletico, regional colors; Barcelona, regional colors; Bayern Munich, regional colors; Liverpool, city emblem; Rome, city emblem; PSG, local landmark; West Ham, weapon of choice; Newcastle, genetic influence; Everton, local landmark. While the liver bird is a prominent local historical brand, it's not naturally clear that moving from one regional brand to another regional brand creates any added marketing value.
There are quite a few clubs in the DML16 top-twenty that feature their City's name in the club branding; 12 of the 20 clubs prominently feature their City's name. I'd do an R-squared analysis on this, but I haven't really got a clue how to do this. I will suggest, however, that the P-value for the relationship between City Name and Club Revenue is not very strong.
As a comparison, 6 of the clubs feature striped kits (additional two sometimes feature a striped kit, or some variation of the striped kit). Giving us 12 clubs that do not use striped kits. If adding the City Name to the club's branding has any effect, so also does the striped kit. And so, I suggest the club start branding white Blue/White (or Yellow) striped kits as Everton de Liverpool Football Club. This clearly has as much untapped marketing edge as adding the liverbird to branding efforts, and if you need further mathematical obfuscation, I will prowl the interwebs for a confusing algorithm.
But for a simpler comparison, consider the soon to be winners of the English Championship, who utilize the striped kit, regional folklore, and city name in their branding efforts. I think you're on to something, Finners. If only the club follows their lead, we'll see revenue skyrocketing overnight; according to the DML16, there's at least €4MM in untapped revenue through this approach.