Edit: worth noting the highest value system I've personally come across was stuffed with CFT HMC worlds around six different stars, so it's not just a single earthlike here and there that are jackpots
Yes, absolutely this - I've been trying to pin down where the habitable zones within which a High Metal Content planet can be a Candidate for Terraforming lie for each star (purely by trial and error, and moreover there's a lot of variation between stars at different points in a class, and with multiple stars and giants it becomes impossible to predict at a glance.)
What I can say is that the presence of an atmosphere (and consequently higher, or massively higher temperatures) does not seem to affect whether a planet can be a Candidate - the only thing that it goes off is the "base" temperature of a planet at that distance, which is constant across all bodies without an atmosphere. You can tell this by looking at binary planets and planets with moons to see the "unmodified" temperature at that distance from the star.
I think there's a lower mass limit as well, though I don't know about an upper one.
I can't tell for sure whether the composition of the planet, volcanism and its atmosphere make any difference, but I don't think so.
Very roughly speaking (I don't have enough data; CFT worlds often have an atmosphere so I can only go off ones that have an airless companion of some kind) the HMC/CFT range is 200K - 300K and Ammonia Worlds are around 180K - 200K.
As a rough guide I look at A = 4AU, F = 2AU, G = 1AU, K = 1/2AU, M = 1/4AU to start with.
Another thing is that the criterion for having a metal-rich world does not seem to be set on temperature - you can find HMC worlds with massively higher (unmodified) temperatures than some MRW, so it must be something else.
There's a relationship between mass and planet type that affects satellites and cold icy worlds but I don't understand it yet.