I suppose the counter question is, in what why would a Cluster from any other Clan behave differently than a Hellion Cluster? The Horses have a very clear cut difference with their armor and infantry, but against an LCT (or LCT like formation by some other name, as the case might be) it ends up just pitting strength against strength, since the IS force will still be brining so many more tanks and infantry to the fight. Falcons still favor mobility like the Hellions, but tend to be heavier on average, the Wolves similar but fewer jump jets than the Falcons. The Bears tend to be big and slow, so again strength vs strength, the famous unstoppable force vs an immovable object. The Ravens love their fighters and protos, so could be very divergent, depending on exactly which direction you go.
I'm not convinced that another Clan cluster could outperform the Hellions, provided each had an equally intelligent commander, because I don't think that going force on force here is likely to produce victory. Taking a Bear assault cluster with 50 Executioners and Kodiaks and anything else you like and throwing it into the teeth of two hundred Lyran mechs and tanks with greater BA support and artillery isn't a recipe for victory. But taking that force and stringing them out and making them run and then falling on isolated elements and destroying them in detail is, and there the Hellions (and to a lesser extent the Falcons and Wolves) will tend to shine.
With the Horses, the upside is that you get more units if you take a cluster with a high nova ratio. Three mech/BA novas, a tank/infantry nova, and a fighter trinary is a very plausible Horse cluster, and gives you 45 mechs, 30 tanks, 45 BA points, 15 pbi points (25 mech each), and 30 fighters. A really tank-y cluster might do two tank novas, for 30 mechs and 60 tanks, which matches the LCT's ratios more closely. But, even with top of the line Horse tanks and tank crews, I don't know that the Horses can out fight the Lyrans three or four to one, unless the Lyran unit is a very green unit and/or equipped with lots of succession wars era tech.
With Ravens (or Cobras or Clan Mongoose or something) you can bring in 90 or 120 fighters with a small ground force to secure an air strip. Is that enough? A hundred high end Clan fighters with bombs and their weapons could do massive damage to a dug in force. They'd have to sweep a few dozen IS fighters aside, but that's easy for such a force, and neutralize any enemy artillery and anti air units (Partisans and Riflemen and so on) which could probably be accomplished with out too many losses. The big problem I think would be that there aren't enough ground forces to deliver the killing blow. Even if you did three trinaries of air and two ground super novas, you'd only have 30 mechs and 30 BA points to try and finish off what's left of several hundred tanks and BA and half a hundred mechs. Even if your fighters could inflict 75% damage, it remains a tall order for two super novas. And if the Lyrans can dig in under cover, then the fighters can't get at them and the two super novas are forced to go in, which would be a slaughter.
Honestly, if you can't string the LCT out and pick them apart, but rather you need to take them head on, you need either a huge super cluster (the Sharks come close, with some having four super novas and two fighter trinaries) or else two normal clusters. A Bear assault cluster to draw the LCT out for a pitched battle, and a Raven Stoop cluster to shatter them with air attacks just in time for the Bears to hit them on the ground could probably prevail in a pitched battle (you could have as many as 80 mechs supported by 150 fighters, along with BA, which has enough power if you can get it delivered.)
