I'm pretty sure it's the 404 itself that rolls off the lowest of the low end. I always thought of "synergy" as a purely subjective thing, I don't think you can attribute an objective effect to it.
I assume you're using an 404 and a Lambda *PRO* Signature? If so, cool! That's my setup exactly! I think the two sets of headphones compliment each other quite well, any time I get tired of the sound of one, the other is always exactly what I want to change to!
I was under the impression that the 727 gain mod made the amp unstable and it wasn't recommended, but don't put a ton of stock in that until someone else can confirm. If you're using an active preamp, the stock 727 can handle enormous amounts of power, so if you really need more gain, you can put it upstream easily enough. I'm using an ODAC -> passive attenuator -> 727, and I haven't once needed or wanted more gain than I have; I suspect that might become a concern when I upgrade to an SR-007 in ten years after I've saved up enough!
I do think you will like the results of the feedback mod based on your description, since your negative impressions are exactly what the mod fixes, subjectively to me at least. It's a really easy job, assuming you have soldering/de-soldering experience. I did it in a half hour, after getting over my nervousness about working on something so expensive and so critical to my day-to-day life.